In the expansion of (1 + x)^4, what is the coefficient of x^2?

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 $24.99Unlock all

Master the Praxis Mathematics (5165) Test. Enhance your skills with flashcards and practice questions, each with detailed explanations. Ace your exam confidently!

Multiple Choice

In the expansion of (1 + x)^4, what is the coefficient of x^2?

Explanation:
Binomial coefficients tell us that in the expansion of (1+x)^n, the coefficient of x^k is C(n,k). With n = 4 and k = 2, the coefficient is C(4,2) = 6. So the x^2 term is 6x^2, and the coefficient is 6. You can confirm by expanding: (1+x)^4 = 1 + 4x + 6x^2 + 4x^3 + x^4.

Binomial coefficients tell us that in the expansion of (1+x)^n, the coefficient of x^k is C(n,k). With n = 4 and k = 2, the coefficient is C(4,2) = 6. So the x^2 term is 6x^2, and the coefficient is 6. You can confirm by expanding: (1+x)^4 = 1 + 4x + 6x^2 + 4x^3 + x^4.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy