Question

Find a quadratic polynomial whose zeroes are -1 and -2.

Answer 1

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Answer 2

The required equation is $x^2+3x+2=0$

Step-by-step explanation:

Consider the provided information.

The zeroes of the polynomial are -1 and -2.

The sum of roots is (S): $-1+(-2)=-3$

The Product of roots (P): $(-1)\times(-2)=2$

The required equation is $x^2 -Sx + p=0$

Substitute the respective values.

$x^2 -(-3)x + 2=0$

$x^2+3x+2=0$

Hence, the required equation is $x^2+3x+2=0$

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