Question

Find the y-coordinate of the y-intercept of the polynomial function defined

below.

f(x) = 2(2x - 3) (5x + 5)

Answer 1

y = -30

(0, -30)

Explanation:

f(x) = 2(2x - 3) (5x + 5)

2 = 0, 2x - 3 = 0, 5x + 5 = 0

+3 +3 -5 -5

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2x = 3 , 5x = -5

÷2 ÷2 ÷5 ÷5

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x = (3/2), x = -1

f(x) = 2(2(0) - 3) (5(0) + 5)

2(0 - 3) (0 + 5)

2(-3) (5)

-6 × 5 = -30

f(x) = -30

y = -30

(0, -30)

f(x) = 2(2x - 3) (5x + 5)

2(2(3/2) - 3) (5(3/2) + 5)

2(3 - 3) (15/2 + 5)

2(0) (25/2)

y = 0

((3/2), 0))

f(x) = 2(2x - 3) (5x + 5)

2(2(-1) - 3) (5(-1) + 5)

2(-2 - 3) (-5 + 5)

2(-5) (0)

-10(0)

y = 0

(-1, 0)

I hope this helps!