MHB How do you factor a cubic function?

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To factor the cubic function x^3 + 2x^2 + x, the expression can be rewritten as x(x^2 + 2x + 1), which further factors to x(x + 1)(x + 1) or x(x + 1)^2. Verifying the correctness of the factorization can be done by multiplying the factors back together. Understanding how to factor is crucial for students, as it is a valuable mathematical skill. Mastery of factoring aids in solving more complex problems in precalculus and beyond.
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Precalculus by David Cohen, 3rd Edition
Chapter 1, Section 1.3.
Question 44b.

Factor the expression.

x^3 + 2x^2 + x

x(x^2 + 2x + 1)

x(x + 1)(x + 1)

x(x + 1)^2

Correct?
 
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RTCNTC said:
Precalculus by David Cohen, 3rd Edition
Chapter 1, Section 1.3.
Question 44b.

Factor the expression.

x^3 + 2x^2 + x

x(x^2 + 2x + 1)

x(x + 1)(x + 1)

x(x + 1)^2

Correct?

yes . to check the corrcetness of the solution you can multiply it out and check
 
Factoring a very important. Students have no idea how valuable this skill is, honestly.
 
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