Question

Use the factor theorem to factorise completely x^3 + x^2 - 4x -4.

Answer 1

Answer:

Let the required number be k.Let f(x) = x2 + x + 3 + kIt is given that f(x) is divisible by (x + 3).∴ Remainder = 0f (−3) = 0(−3)2 + (−3) + 3 + k = 09 − 3 + 3 + k = 09 + k = 0k = −9Thus, the required number is − 9.

Step-by-step explanation:

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