Question

Zeros of quadratic polynomial are -one and 7 than quadratic polynomial is

Answer 1

Given:

• Zeroes of quadratic polynomial are -1 & 7.

To Find:

• The quadratic polynomial whose zeroes are -1 and 7.

Concept Used:

• We will use formula to find the quadratic polynomial when the zeroes are given.

Answer:

Here its given that the two zeroes are -1 & 7 .

Here's a formula to find the quadratic polynomial when the zeroes are given:

$\large{\underline{\boxed{\red{\sf{\hookrightarrow p(x)=k[x^{2}-(\alpha +\beta)x+\alpha\beta]}}}}}$

where

• ☞ Alpha and Beta are the zeroes.
• ☞ k is a constant.

Using the above formula ,we have ;

$\sf{\implies p(x)=k[x^{2}-(-1+7)x+(-1\times7)]}$

$\sf{\implies p(x)=k[x^{2}-6\times +(-7)]}$

${\underline{\boxed{\red{\sf{\longmapsto p(x)=k[x^{2}-6x-7]}}}}}$

Hence the required quadratic polynomial is k[x²-6x-7 ].