Question

Find a polynomial in x if its zeroes are
- 13 and 13.​

Answer 1

Answer:

Polynomial is p(x)=x

3

+13x

2

+32x+20

one of the zero is x=−2

One factor of p(x) is (x+2)

⇒ Polynomial becomes p(x)=(x+2)(x

2

+11x+10) factoring the quadratic, by middle term spletting

⇒ p(x)=(x+2)(x

2

+10x+x+10)

=(x+2)[x(x+10)+1(x+10)]

=(x+2)[(x+10)(x+1)]

⇒ Other factor are x+10 and x+1

Zeros are x=−10 and x=−1

⇒ All the zeroes of polynomial p(x) are −1,−2 and −10