Check whether the polynomial (x2 – 4x – 12) is exactly divisible by (x + 2) or not.
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Answer:
Yes. x^2 - 4x - 12 is exactly divisible by (x+2). So we need to prove that (x+2) is a factor of x^2 - 4x - 12.
Step-by-step explanation:
x^2 - 4x - 12
= x^2 +2x - 6x - 12
= x (x+2) -6 (x+2)
= (x+2) (x-6)
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