Two students argue about whether (x + 3) is a factor of p(x) = x^4 - 81. Student A says yes; Student B says no. By computing p(-3), decide who is correct.

Question

Accepted Answer

Student A: p(-3) = 0. p(-3) = (-3)^4 - 81 = 81 - 81 = 0. So (x + 3) is a factor and Student A is correct. Indeed x^4 - 81 = (x^2 - 9)(x^2 + 9) = (x - 3)(x + 3)(x^2 + 9).

Two students argue about whether $(x + 3)$ is a factor of $p (x) = x^{4} - 81$ .
Student A says yes; Student B says no.
By computing $p (- 3)$ , decide who is correct.

Step-by-Step Solution

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More Class 9 Factor Theorem and Factorisation practice

Two students argue about whether (x+3) is a factor of p(x)=x4−81.Student A says yes; Student B says no.By computing p(−3), decide who is correct.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Factor Theorem and Factorisation practice

Two students argue about whether $(x + 3)$ is a factor of $p (x) = x^{4} - 81$ .
Student A says yes; Student B says no.
By computing $p (- 3)$ , decide who is correct.