Question

122
course
ap precalculus
due wed, oct 22, 2025
71
default gallery

1. $x^{6}-3x^{4}+x^{2}-3$

text math set matrix
answer

Explanation:

Step1: Group the terms

Group the terms as \((x^{6}-3x^{4})+(x^{2} - 3)\)

Step2: Factor out the common factors from each group

From the first group \(x^{6}-3x^{4}=x^{4}(x^{2}-3)\), and the second group is \(x^{2}-3\)
So the expression becomes \(x^{4}(x^{2}-3)+1(x^{2}-3)\)

Step3: Factor out the common binomial factor

Factor out \((x^{2}-3)\), we get \((x^{2}-3)(x^{4}+1)\)

Answer:

\((x^{2}-3)(x^{4}+1)\)