Question

find a polynomial whose zeroes are 2 and -5​

Answer 1

Answer:

The polynomial whose zeroes are 2 and -5 is $x^{2} +3x-10$.

Step-by-step explanation:

Zeroes of a polynomial  are the points on the curve of the polynomial that intersect with x-axis. In the question we are given two zeroes of the polynomial from which we can determine the polynomial itself.

Let us take the variable of the polynomial as x, to find the polynomial we have to multiply (x-2) and (x-(-5)) and equate the product to zero.

(x-2)(x+5)=0

$x^{2} +5x-2x-10=0\\x^{2} +3x-10=0$

Thus we found the polynomial that has zeroes as 2 and -5.