Question

solve the polynomial: 15x^3-119x^2-10x+16=0

Answer 1

x=8, -2/5, and 1/3. Is that what you're looking for?

Answer 2

yea can you explain the process

Answer 3

divide f(x) by (x - 8) to get a quadratic function to find the other roots

Answer 4

how do you know to divide by x-8

Answer 5

^ yup. And to know why you divide by (x-8): this comes from the factor theorem. You can check which value "a" of your polynomial will evaluate to 0, that is if f(a) = 0

If that occurs, then a factor of your polynomial will be of the form "(x - a)"

[Here, if you plug in 8 into the polynomial, you find that f(8) = 0, so a factor for the polynomial is (x - 8)]

Answer 6

oh okay this makes sense. thanks!

Answer 7

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