get the factors of
[tex]x {}^{5} - 2x {}^{4} - 11x {}^{3} + 56x {}^{2} + 20x + 16[/tex]
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get the factors of
[tex]x {}^{5} - 2x {}^{4} - 11x {}^{3} + 56x {}^{2} + 20x + 16[/tex]
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Verified answer
[tex](x + 4)(x {}^{4} - 6x {}^{3} + 13x {}^{2} + 4x + 4)[/tex]
Step-by-step explanation:
By Rational Root Theorem, all rational roots of polynomial are in the form [tex] \frac{p}{q} [/tex]
where p divides the constant term 16 and q divides the leading coefficient 1. One such root is –4. Factor the polynomial by dividing it by x + 4. Polynomial [tex]x {}^{4} [/tex] – 6x³ + 13x² + 4x + 4 is not factored since it does not have any rational roots.
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