Question

(5)—Write the quadratic polynomial whose zeroes are -3 & 4.​

Answer 1

Given:

The zeroes of a quadratic polynomial are -3 & 4 .

To Find:

The quadratic polynomial which has the given zeroes.

Concept Used:

We will the formula for finding the quadratic equations when both of its zeroes are given.

Answer:

We have

Let ,

• $\sf{\alpha =-3\:as\:first\:zero}$
• $\sf{\beta =4\:as\:second\:zero}$

Now , the formula is

quad.p(x) = (x-a)(x-ß)= 0 .

$\implies \sf{(x-(-3))(x-4)=0}$

$\implies \sf{(x+3)(x-4)=0}$

$\sf{\implies x(x-4)+3(x-4)=0}$

$\sf{\implies x^{2}-4x+3x-12=0}$

${\underline{\boxed{\red{\bf{\leadsto x^{2}-x-12=0}}}}}$