Factor f (x) = 4x²-15x-25 and then use zero-product property to find the zeros of the quadratic function. Show all work (Will Mark Brainliest) [Pre Calculus]

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Mathematics

20 March, 15:18

Factor f (x) = 4x²-15x-25 and then use zero-product property to find the zeros of the quadratic function. Show all work (Will Mark Brainliest) [Pre Calculus]

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Larry Cantrell · Answer 1

f (x) = 4x²-15x-25

f (x) = (4x + 5) (x - 5)

zero-product property

let f (x) = (4x + 5) (x - 5) = 0

so

(4x + 5) (x - 5) = 0

4x + 5 = 0

4x = - 5

x = - 5/4

x = - 1.25

x - 5 = 0

x = 5

answer

factor: (4x + 5) (x - 5)

x = 5 and x = - 1.25