Nisha must decide which of two binomials, (x - 1) or (x + 1), is a factor of p(x) = x^3 - x^2 - x + 1. She computes both p(1) and p(-1). Which binomial(s) are factors?

Question

Accepted Answer

Both (x - 1) and (x + 1). p(1) = 1 - 1 - 1 + 1 = 0 and p(-1) = -1 - 1 + 1 + 1 = 0. Both give zero, so both are factors. Indeed p(x) = (x - 1)^2(x + 1).

Nisha must decide which of two binomials, $(x - 1)$ or $(x + 1)$ , is a factor of $p (x) = x^{3} - x^{2} - x + 1$ .
She computes both $p$ (1) and $p (- 1)$ .
Which binomial(s) are factors?

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More Class 9 Factor Theorem and Factorisation practice

Nisha must decide which of two binomials, (x−1) or (x+1), is a factor of p(x)=x3−x2−x+1.She computes both p(1) and p(−1).Which binomial(s) are factors?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Factor Theorem and Factorisation practice

Nisha must decide which of two binomials, $(x - 1)$ or $(x + 1)$ , is a factor of $p (x) = x^{3} - x^{2} - x + 1$ .
She computes both $p$ (1) and $p (- 1)$ .
Which binomial(s) are factors?