Question

Find the quadratic polynomial whose zeroes are -3 and 4​

Answer 1

Answer:

The polynomial is x2+3x+4

Step-by-step explanation:

Let us assume that- Sum=-3

                                 Product=4

Therefore, Polynomial= x2-(sum)x + Product

                                    = x2- (-3)x + 4

                                    = x2+3x+4

              The Polynomial is- x2+3x+4

                          Here is your answer.

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

If the zeroes of the quadratic polynomial are given, then the quadratic polynomial is obtained as

${x}^{2} - ( \: sum \: of \: the \: zeros \: )x + product \: of \: the \: zeros \:$

GIVEN

A quadratic polynomial, whose zeroes are -3 and 4

TO DETERMINE

The quadratic polynomial

EVALUATION

The Zeros are - 3 & 4

So

Sum of the zeroes

= - 3 + 4

= 1

Product of the Zeros

= (-3) × 4

= - 12

So the required polynomial is

${x}^{2} - ( \: sum \: of \: the \: zeros \: )x + product \: of \: the \: zeros \:$

$= {x}^{2} - (1)x - 12$

$= {x}^{2} - x - 12$