Question

Find a quadratic polynomial whose one zero is 7 and sum of zeroes is -18​

Answer 1

Answer:

x^2 + 13x - 35

Step-by-step explanation:

Let the zero's be α and β.

Let α = 7.

sum of zeros is - 18 means,

α + β = - 18

7 + β = - 18

β = - 18 - 7

β = - 25

α + β = - 18

αβ = 7 ( - 5 )

αβ = - 35

x^2 - ( α + β )x + αβ

= x^2 - ( - 13 )x + ( - 35 )

= x^2 + 13x - 35