Question

The quadratic Polnomial , the sum and produt of zeeros are -3 and -2 is

Answer 1

✪AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• zeroes of polynomial
• -3 and -2

${\tt{\red{\underline{\large{To\:find}}}}}$

• Quadratic polynomial

${\sf{\pink{\underline{\Large{Explanation}}}}}$

Let the zeroes of the polynomial be$\tt\alpha{and}\beta$

Then,

$\tt\alpha{+}\beta{=}\frac{-b}{a}=-3-2=-5$

&

$\tt\alpha{\times}\beta{=}\frac{c}{a}-2\times{-3}=6$

Here,we conclude that

a=1

b=5

C=6

Now creating polynomial

In the form of ax²+bx+c

☞k(x²+5x+6)

Hence, polynomial created