Q. 44.2( 16 Votes )

Obtain all zeros

Answer :



We know that if
is a zero of a polynomial then


Since -2 is zero of Therefore is a factor of .


Now on divide by   to find other zeros.



By applying division algorithm, we have:


x3 + 13x2 + 32x + 20 = (x+2)(x2+11x+10)

We do factorisation here by splitting the middle term,

⇒ x3 + 13x2 + 32x + 20 = (x+2)(x2+11x+10)

⇒ x3 + 13x2 + 32x + 20 = (x+2)(x2+10x+x+10)

⇒ x3 + 13x2 + 32x + 20 = (x+2) {x(x+10)+1(x+10)}

⇒ x3 + 13x2 + 32x + 20 = (x+2) (x+10)(x+1)

Hence, the zeros of the given polynomial are:

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
RELATED QUESTIONS :

When a polynomialRS Aggarwal - Mathematics

Find all the zeroRD Sharma - Mathematics