Question

find a quadratic polynomial whose zeros are -2 and -3

Answer 1

general form of quadratic equation is
ax^2-bx +c
sum of zeros= -2 + (-3)
=-5
product of zeros= -2×-3
=6
ax^2-s+p
x^2 +5+6it is your polynomial

Answer 2

Friend,
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Question: Find a quadratic polynomial whose zeros are -2 and -3

Solution

What does zeros of polynomial mean.?

Zeros of polynomial mean the variable in the equation equals to zeros.

Let us consider x to be a variable of this polynomial 

So by definition we can say that

x = -2           or                    x = -3 

hence we can write the above equation as 

x + 2 = 0         or            x + 3 = 0 

so we will get the polynomial we need by multiplying both the factors which are 

(x + 2 ) ( x + 3 )

$x^{2}$ + 2x + 3x +6 

So the required polynomial is

$\boxed{ x^2 + 5x + 6}$

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Hope this helps you 

Regards