Question

find a quadratic polynomial whose zeroes are 1and -3​

Answer 1

Answer:

$x^{2} +2x-3$

Step-by-step explanation:

Let the zeroes be α and β

Every quadratic polynomial is of the form: k(x2 - (α+β)x + αβ)

Therefore, we can write it as k($x^{2}$ - (1+(-3))$x$ + 1*(-3)) = k(x2+2x-3)

Taking k to be 1, the polynomial is $x^{2} + 2x - 3$