What is y=3x^2+24x+45

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asked Jan 5, 2021 233k views

1 Answer

Nikhil Jindal · Answer 1 · 2021-01-09T08:34:35+0000

Factoring:
y = 3x^2 + 24x + 45
y = 3 (x^2 + 8x + 15)
y = 3 (x + 3) (x + 5)

Vertex Form:
y = (3x^2 + 24x )+ 45
y = 3 (x^2 + 8x) + 45
y = 3 (x^2 + 8x + 16) + 45 - (16•3)
y = 3 (x + 4)^2 - 3

Vertex form was done by completing the square.

What is y=3x^2+24x+45

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