Answered: 4 FACTOR y4-2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 13E

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Step 1

The numbers or variables that are multiplied to form a term are called its factors.

(1) We have the term given as

$y^{4} + y$

On factorizing the term, we get the result as

$\begin{array}{rcl} y^{4} + y & = & (y) (y^{3} + 1^{3}) \\ = & (y) \cdot (y + 1) \cdot (y^{2} - y + 1) (U s e a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})) \end{array}$

Hence, factors of the term $y^{4} + y$ are $y, (y + 1)$ and $(y^{2} - y + 1)$ .

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