Question

find the quadratic polynomial whose sum and product of the zeroes are -1 and -12 respectively​

Answer 1

Answer:

Here is your answer of your question.

Answer 2

Concept Introduction:-

A polynomial of second degree with the term of highest degree equal to two is known as quadratic polynomial.

Given Information:-

We have been given that sum and product of the zeroes are $-1$ and $-12$respectively​

To Find:-

We have to find that the quadratic polynomial

Solution:-

According to the problem

Given: Sum of zeroes $=-1$ and product of zeroes $=-12$

We know,

$\mathrm{p}(\mathrm{x})=\mathrm{x}^{2}-( sum of zeroes ) \mathrm{x}+(product of zeroes)\\\Rightarrow \mathrm{p}(\mathrm{x})=\mathrm{x}^{2}-(-1) \mathrm{x}-12\\\Rightarrow \mathrm{p}(\mathrm{x})=\mathrm{x}^{2}+ \mathrm{x}-12$

Final Answer:-

The required polynomial is $x^2+x-12$.

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