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Firdavs [7]
2 years ago
15

Factor x³ + x² + x + 1 by grouping. What is the resulting expression?

Mathematics
1 answer:
vladimir1956 [14]2 years ago
4 0
<h3>Answer:  (x² + 1)(x + 1)</h3>

Work Shown:

x³ + x² + x + 1

(x³ + x²) + (x + 1)

x²(x+1) + 1(x + 1)

(x² + 1)(x + 1)

The basic outline is to pair up the terms into two groups. We factor each group separately, and then factor out the overall GCF (x+1). You can use the FOIL rule to verify the answer.

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+ Tuesday:      1(5)     1(5)       1(5)       1(5)         1(5)     = + 25   ⇒ 5²

+ Wednesday:5(5)    5(5)      5(5)      5(5)        5(5)     = <u>+125   </u>⇒ 5³

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Extra Credit:   How many students will know the rumor on Thursday?            5¹ + 5² + 5³ + 5⁴


8 0
3 years ago
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