Sum
By using factor theorem in the following example, determine whether q ( x ) is a factor p ( x ) or not.
`p(x) = 2x^3 - x^2 - 45 , q(x) = x - 3`
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Solution
`p(x) = 2x^3 - x^2 - 45`
Divisor = q(x) = x - 3
∴ p(3) = 2 × (3)3 - (3)2 - 45 = 2 × 27 - 9 - 45 = 54 - 54 = 0
So , by factor theore q(x) = x - 3 is a factor of polynomial `p(x) = 2x^3 - x^2 -45.`
Concept: Factor Theorem
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