Q. 4 B4.4( 7 Votes )

Factorize the expressions and divide them as directed:

(x2 – 8x + 12) ÷ (x – 6)

Answer :

In the given term


Dividend = (x2 - 8x + 12)


The given expression looks as


x2 + (a + b)x + ab


where a + b = -8; and ab = 12;


factors of 12 their sum


-1 × -12 -1-12 = -13


-6 × -2 -2-6 = -8


-4 × -3 -4-3 = -7


the factors having sum 7 are 4 and 3


x2 - 8x + 12 = x2 + (-6-2)x + 12


= x2 - 6x - 2x + 12


= x(x - 6) -2(x - 6)


= (x - 6)(x - 2)


Divisor = (x - 6)


=


= (x – 2)


Hence dividing (x2 – 8x + 12) by (x – 6) gives out (x – 2)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Important Questions on FactorisationQuiz | Important Questions on FactorisationQuiz | Important Questions on Factorisation35 mins
Algebraic Identities - Mark your Weak AreasAlgebraic Identities - Mark your Weak AreasAlgebraic Identities - Mark your Weak Areas41 mins
Quiz | Questions on FactorizationQuiz | Questions on FactorizationQuiz | Questions on Factorization41 mins
NCERT | Factorisation ProblemsNCERT | Factorisation ProblemsNCERT | Factorisation Problems38 mins
Champ Quiz | Division of PolynomialsChamp Quiz | Division of PolynomialsChamp Quiz | Division of Polynomials33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses