A quadratic function can be written in the form h (x) = k (x-a) (x-b), where a and b are the zeros of the function. Write h (x) in standard form if its zeros are - 3 and - 5 and k is 3.

Question

Mathematics

Ezekiel Delgado

15 July, 02:58

A quadratic function can be written in the form h (x) = k (x-a) (x-b), where a and b are the zeros of the function. Write h (x) in standard form if its zeros are - 3 and - 5 and k is 3.

+3

Answers (1)

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Micaela Downs · Answer 1

h (x) = 3x^2 + 24x+45

Step-by-step explanation:

a=-3, b=-5, k=3,

h (x) = k (x-a) (x-b)

h (x) = 3 (x - (-3)) (x - (-5))

h (x) = 3 (x+3) (x+5)

h (x) = 3 (x*x+x*5+3*x+3*5)

h (x) = 3 (x^2 + 5x+3x+15)

h (x) = 3 (x^2 + 8x+15)

h (x) = 3x^2 + 24x+45