Hello friends!!! Aaj mai aapko quadratic polynomial ko binomial se divide karne very fast and easily method bataunga.
Meri iss shortcut trick ka use kark aap kisi bhi quadratic polynomial
ya expression ko binomial se aashani aur jaldi se jaldi divide kar paayenge.
Friends aap to jaante hi honge ki, agar hum iss type ke division ko long division method se solve kare to isme time and mehnat jyada lagata hai. But agar aap meri iss trick ka use karte hai to aapka time k sath-saath mehnat dono bachega. Ab mai jyda deri naa karte huye aapko ye aaj ka shortcut trick batana start karta hu.
Also read-:
• Fast cube tricks 1se 99 tak in Hindi
• Top 10 math tricks post november 2016
Aaj ke shortcut trick me bas itana hi dosto. Aapko aaj ka shortcut trick kaisa laga ?? Mujhe comment kark jarur bataye.
Issme agar aapko koi doubt ya problem ho rahi ho to aap mujhe comment kark puchh sakte hai. Mai aapki help karne ki puri koshish karunga.Agar aapko ye shortcut trick achhi lagi ho to please share kare.
Thanks for reading !!!
Niche diye useful shortcut trick ko bhi read kare -:
• Fast multiply by 11 of any number in hindi
• Fast calculate square of numbers ending with 5
• Fast multiply by 99,999,9999 of any numbers in hindi
Meri iss shortcut trick ka use kark aap kisi bhi quadratic polynomial
ya expression ko binomial se aashani aur jaldi se jaldi divide kar paayenge.
Friends aap to jaante hi honge ki, agar hum iss type ke division ko long division method se solve kare to isme time and mehnat jyada lagata hai. But agar aap meri iss trick ka use karte hai to aapka time k sath-saath mehnat dono bachega. Ab mai jyda deri naa karte huye aapko ye aaj ka shortcut trick batana start karta hu.
Also read-:
• Fast cube tricks 1se 99 tak in Hindi
• Top 10 math tricks post november 2016
Quadratic polynomial ko binomial se fast and easily divide kaise karte hai?
Iss type k division ko shortcut trick se batane k liye maine ek simple sa formula diya hai. Aapko bas issi formula par 3-4 times practice karni hai .
Mai aapko batadu ki , hum sabhi question ke liye quotient ( bhagfal ) aur remainder ( sheshfal ) dono trick se nikalenge.
Mai aapko batadu ki , hum sabhi question ke liye quotient ( bhagfal ) aur remainder ( sheshfal ) dono trick se nikalenge.
Ab mai aapko batata hu ki , aapko karna kya hai ?
Jaha a,b,c aur A ye sabhi constant (fixed number) hai.
Tab ( ax²+bx+c ) ÷ ( x+A ) k liye shortcut trick se quotient (bhagfal) aur remainder (sheshfal) ka formula -:
Quotient = ax+[a×(-A)+b]
Remainder = [a×(-A)+b]×(-A)+C
Aayiye aapko iss par kuch questions ko solve karna batata hu.
Q-1.-: Divide 6x²+4x+2 by x-1
Trick-: a = 6 , b = 4 , c = 2 aur A = -1
Ab ye sabhi value ko formula me rakhenge.
quotient = 6x+[6×{-(-1)}+4]
= 6x+10
Remainder = 10×{-(-1)}+2
= 12
Q-2.-: Divide x²-2x-3 by x+1
Trick-: a = 1 , b = -2 , c = -3 aur A = 1
Formula me sabhi value rakhane par -:
quotient = 1x+[1×(-1)+(-2)]
= x-3
Remainder = -3×(-1)-3
= 0
Also read-:
• what are prime numbers and composite numbers ?
• Kya aapko koi help mathematics me chahiye?
Q-3.-: Divide (-6x²-4x+2 ) by (x-2)
Trick-: a = -6 , b = -4 , c = 2 aur A = -2
Formula me sabhi value rakhane par -:
quotient = -6x+[-6×{-(-2)}+(-4)]
= -6x-16
Remainder = -16×{-(-2)}+2
= -32+2
= -30
Also read-:
• Subtraction trick without using borrowing for 2-digit number
• 10 seconds me area of the triangle question solve
Q-4.-: Divide 8x²-6x-4 by x+3
Trick-: a = 8 , b = -6 , c = -4 aur A = 3
Formula me sabhi value rakhane par -:
quotient = 8x+[8×(-3)+(-6)]
= 8x-30
Remainder = -30×(-3)+(-4)
= 90-4
= 86
Q-5.-: Divide (-x²+x+1 ) by (x-4)
Trick-: a = -1 , b = 1 , c = 1 aur A = -4
Formula me sabhi value rakhane par -:
quotient = -1x+[-1×{-(-4)}+1]
= -x-3
Remainder = -3×{-(-4)}+1
= -12+1
= -11
Q-6.-: Divide 2x²-3x+6 by x+5
Trick-: a = 2 , b = -3 , c = 6 aur A = 5
Formula me sabhi value rakhane par -:
quotient = 2x+[2×(-5)+(-3)]
= 2x-13
Remainder = -13×(-5)+6
= 65+6
= 71
Q-7.-: Divide 3x²-6x-2 by x-6
Trick-: a = 3 , b = -6 , c = -2 aur A = -6
Formula me sabhi value rakhane par -:
quotient = 3x+[3×{-(-6)}+(-6)]
= 3x+12
Remainder = 12×{-(-6)}+(-2)
= 72-2
= 70
Q-8.-: Divide 4x²+3x-12 by x+7
Trick-: a = 4, b = 3, c = -12 aur A = 7
Formula me sabhi value rakhane par -:
quotient = 4x+[4×(-7)+3]
= 4x-25
Remainder = -25×(-7)-12
= 175-12
= 163
Q-9.-: Divide (-5x²-8x-9) by x-8
Trick-: a = -5, b = -8, c = -9 aur A = -8
Formula me sabhi value rakhane par -:
quotient = -5x+[-5×{-(-8)}+(-8)]
= -5x-48
Remainder = -48×{-(-8)}-9
= -384-9
= -393
Q-10-: Divide 10x²+7x-3 by x-9
Trick-: a = 10, b = 7, c = -3 aur A = -9
Formula me sabhi value rakhane par -:
quotient = 10x+[10×{-(-9)}+7]
= 10x+97
Remainder = 97×{-(-9)}+3
= 873-3
= 870
Agar aapko abhi bhi koi problem ho to watch this video
Procedure of shortcut method-:
Suppose kariye ki ax²+bx+c ek quadratic polynomial hai. Jisko binomial x+A se divide karna hai.Jaha a,b,c aur A ye sabhi constant (fixed number) hai.
Tab ( ax²+bx+c ) ÷ ( x+A ) k liye shortcut trick se quotient (bhagfal) aur remainder (sheshfal) ka formula -:
Quotient = ax+[a×(-A)+b]
Remainder = [a×(-A)+b]×(-A)+C
Aayiye aapko iss par kuch questions ko solve karna batata hu.
Example of division of quadratic polynomial by binomial
Trick-: a = 6 , b = 4 , c = 2 aur A = -1
Ab ye sabhi value ko formula me rakhenge.
quotient = 6x+[6×{-(-1)}+4]
= 6x+10
Remainder = 10×{-(-1)}+2
= 12
Q-2.-: Divide x²-2x-3 by x+1
Trick-: a = 1 , b = -2 , c = -3 aur A = 1
Formula me sabhi value rakhane par -:
quotient = 1x+[1×(-1)+(-2)]
= x-3
Remainder = -3×(-1)-3
= 0
Also read-:
• what are prime numbers and composite numbers ?
• Kya aapko koi help mathematics me chahiye?
Q-3.-: Divide (-6x²-4x+2 ) by (x-2)
Trick-: a = -6 , b = -4 , c = 2 aur A = -2
Formula me sabhi value rakhane par -:
quotient = -6x+[-6×{-(-2)}+(-4)]
= -6x-16
Remainder = -16×{-(-2)}+2
= -32+2
= -30
Also read-:
• Subtraction trick without using borrowing for 2-digit number
• 10 seconds me area of the triangle question solve
Q-4.-: Divide 8x²-6x-4 by x+3
Trick-: a = 8 , b = -6 , c = -4 aur A = 3
Formula me sabhi value rakhane par -:
quotient = 8x+[8×(-3)+(-6)]
= 8x-30
Remainder = -30×(-3)+(-4)
= 90-4
= 86
Q-5.-: Divide (-x²+x+1 ) by (x-4)
Trick-: a = -1 , b = 1 , c = 1 aur A = -4
Formula me sabhi value rakhane par -:
quotient = -1x+[-1×{-(-4)}+1]
= -x-3
Remainder = -3×{-(-4)}+1
= -12+1
= -11
Q-6.-: Divide 2x²-3x+6 by x+5
Trick-: a = 2 , b = -3 , c = 6 aur A = 5
Formula me sabhi value rakhane par -:
quotient = 2x+[2×(-5)+(-3)]
= 2x-13
Remainder = -13×(-5)+6
= 65+6
= 71
Q-7.-: Divide 3x²-6x-2 by x-6
Trick-: a = 3 , b = -6 , c = -2 aur A = -6
Formula me sabhi value rakhane par -:
quotient = 3x+[3×{-(-6)}+(-6)]
= 3x+12
Remainder = 12×{-(-6)}+(-2)
= 72-2
= 70
Q-8.-: Divide 4x²+3x-12 by x+7
Trick-: a = 4, b = 3, c = -12 aur A = 7
Formula me sabhi value rakhane par -:
quotient = 4x+[4×(-7)+3]
= 4x-25
Remainder = -25×(-7)-12
= 175-12
= 163
Q-9.-: Divide (-5x²-8x-9) by x-8
Trick-: a = -5, b = -8, c = -9 aur A = -8
Formula me sabhi value rakhane par -:
quotient = -5x+[-5×{-(-8)}+(-8)]
= -5x-48
Remainder = -48×{-(-8)}-9
= -384-9
= -393
Q-10-: Divide 10x²+7x-3 by x-9
Trick-: a = 10, b = 7, c = -3 aur A = -9
Formula me sabhi value rakhane par -:
quotient = 10x+[10×{-(-9)}+7]
= 10x+97
Remainder = 97×{-(-9)}+3
= 873-3
= 870
Agar aapko abhi bhi koi problem ho to watch this video
Aaj ke shortcut trick me bas itana hi dosto. Aapko aaj ka shortcut trick kaisa laga ?? Mujhe comment kark jarur bataye.
Issme agar aapko koi doubt ya problem ho rahi ho to aap mujhe comment kark puchh sakte hai. Mai aapki help karne ki puri koshish karunga.Agar aapko ye shortcut trick achhi lagi ho to please share kare.
Thanks for reading !!!
Niche diye useful shortcut trick ko bhi read kare -:
• Fast multiply by 11 of any number in hindi
• Fast calculate square of numbers ending with 5
• Fast multiply by 99,999,9999 of any numbers in hindi
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