For the polynomial below, 3 is a zero.
f(x)= 3x^3 - 10x^2 + x + 6
Express f(x) as a product of linear factors.
Use fractions or square roots, not decimals.
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Since 3 is a zero, then (x - 3) is a factor
We then divide x - 3 into 3x^3 - 10x^2 + x + 6 to find the other factors.
After division we get
x^2 - x - 2 which we can factor into
(x - 2)(x + 1)
f(x) = (x - 3)(x - 2)(x + 1)
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