Question

What are the linear and quadratic factors of the expression

Factors and multiples
ANSWERED
asked 2021-08-12
What are the linear and quadratic factors of the expression \(\displaystyle{8}{x}^{{{4}}}-{8}{x}\)

Expert Answers (1)

2021-08-13
Given: \(\displaystyle{8}{x}^{{{4}}}-{8}{x}\)
\(\displaystyle{8}{x}{\left({x}^{{{3}}}-{1}\right)}\)
\(\displaystyle{x}^{{{3}}}-{1}={\left({x}-{1}\right)}{\left({x}^{{{2}}}+{x}+{1}\right)}\)
\(\displaystyle={8}{x}{\left({x}-{1}\right)}{\left({x}^{{{2}}}+{x}+{1}\right)}\)
Step 2
Linear factor \(\displaystyle={x},{\left({x}-{1}\right)}\)
quadratic factor \(\displaystyle={\left({x}^{{{2}}}+{x}+{1}\right)}\)
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