Question

How many polynomials are there having 4 and -2as zeroes?

Answer 1

there are 1 polynomial

Answer 2

Answer:

The required polynomial is $x^2-2x-8=0$

Step-by-step explanation:

Given : Polynomials are there having 4 and -2 as zeroes.

To find : How many polynomials are there?

Solution :

If the zeros of a polynomial is given then it form only one polynomial.

The zeroes of the polynomial are 4 and -2

Let x is the variable so

Factors are (x-4)(x+2)

Now, we multiply the factors to get polynomial.

$(x-4)(x+2)=x^2+2x-4x-8$

$(x-4)(x+2)=x^2-2x-8$

The required polynomial is $x^2-2x-8=0$ which has zeros 4 and -2.