A polynomial p(x) = x^3 + 2x^2 - 5x - 6 is known to have (x + 1) as a factor. Dividing gives the quotient x^2 + x - 6. Write the complete factorisation.

Question

Accepted Answer

(x + 1)(x - 2)(x + 3). x^2 + x - 6 = (x - 2)(x + 3). So p(x) = (x + 1)(x - 2)(x + 3). Check p(2)=8+8-10-6=0, p(-3)=-27+18+15-6=0.

A polynomial $p (x) = x^{3} + 2 x^{2} - 5 x - 6$ is known to have $(x + 1)$ as a factor.
Dividing gives the quotient $x^{2} + x - 6$ .
Write the complete factorisation.

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More Class 9 Factor Theorem and Factorisation practice

A polynomial p(x)=x3+2x2−5x−6 is known to have (x+1) as a factor.Dividing gives the quotient x2+x−6.Write the complete factorisation.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Factor Theorem and Factorisation practice

A polynomial $p (x) = x^{3} + 2 x^{2} - 5 x - 6$ is known to have $(x + 1)$ as a factor.
Dividing gives the quotient $x^{2} + x - 6$ .
Write the complete factorisation.