Quadratic equation whose roots are - 6 and 6, and whose leading coefficient is 3

Question

Mathematics

Zariah Randolph

5 March, 08:18

Quadratic equation whose roots are - 6 and 6, and whose leading coefficient is 3

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Answers (1)

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Steve Hodge · Answer 1

If - 6 and 6 are the roots, x+6 and x-6 are the factors.

So we have ...

f (x) = (x+6) (x-6)

Because the leading coefficient is currently 1, we need to make it 3.

f (x) = 3 (x+6) (x-6)

f (x) = 3x²-108

answer: f (x) = 3x²-108