Question

Given that (x + 2) is a linear factor of the polynomial x3 + 4x2 + x – 6, what are the other two linear factors?A. (x – 1) and (x + 3)B. (x + 1) and (x – 3)C. (x – 1) and (x – 3)D. (x + 1) and (x + 3)

Answer 1

The other two linear factors of the polynomial x³ + 4x² +x -6 are; Choice A: (x – 1) and (x + 3)

Polynomial division

By ling division of polynomials, it follows that the division of polynomial x³ + 4x² +x -6 by x +2 yields the quadratic expression;

• x² + 2x -3.

On this note, the factorisation of the quadratic expression above yields factors;

• (x – 1) and (x + 3)

Read more on factorisation of polynomials;

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