Factor 3x^4 + 6x^3.

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Unlock your potential to excel as a paraeducator with comprehensive study questions and methods designed to deepen your understanding. Access questions with explanations and enhance your readiness for the CODESP exam!

Multiple Choice

Factor 3x^4 + 6x^3.

Explanation:
Extracting the greatest common factor. Each term shares 3x^3, so factor that out: 3x^3 is multiplied by what remains to give the original terms? 3x^4 ÷ 3x^3 = x and 6x^3 ÷ 3x^3 = 2. Therefore the expression factors to 3x^3(x + 2). This is fully factored over the integers, since x + 2 cannot be factored further. Other ways of writing it, like x^3(3x + 6) or 3x^2(x^2 + 2x), do not present the greatest common factor in a single outside product or require an extra step to reach the fully factored form, even though they’re algebraically equivalent.

Extracting the greatest common factor. Each term shares 3x^3, so factor that out: 3x^3 is multiplied by what remains to give the original terms? 3x^4 ÷ 3x^3 = x and 6x^3 ÷ 3x^3 = 2. Therefore the expression factors to 3x^3(x + 2). This is fully factored over the integers, since x + 2 cannot be factored further. Other ways of writing it, like x^3(3x + 6) or 3x^2(x^2 + 2x), do not present the greatest common factor in a single outside product or require an extra step to reach the fully factored form, even though they’re algebraically equivalent.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy