Sum
Use the Remainder Theorem to find which of the following is a factor of 2x3 + 3x2 – 5x – 6.
x + 2
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Solution
By remainder theorem we know that when a polynomial f (x) is divided by x – a, then the remainder is f(a).
Let f(x) = 2x3 + 3x2 – 5x – 6
`f(-2)=2(-2)^3(-2)^2-5(-2)-6`
=-16+12+10-6=0`
Thus, (x + 2) is a factor of the polynomial f(x).
Concept: Remainder Theorem
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