Algebra Test Polynomials 2

Question 1

Divide 6x³ by 2x.

Accepted Answer

3x²

Answer

Divide coefficients 6/2 = 3 and subtract exponents 3 - 1 = 2, giving 3x².

Question 2

Evaluate P(x) = 2x² - 3x + 1 at x = 2.

Accepted Answer

3

Answer

P(2) = 2(4) - 3(2) + 1 = 8 - 6 + 1 = 3.

Question 3

Which of the following is a trinomial?

Accepted Answer

x³ + 2x - 7

Answer

A trinomial has exactly three terms; x³ + 2x - 7 has three terms.

Question 4

Expand: (x + 4)²

Accepted Answer

x² + 8x + 16

Answer

(x + 4)² = x² + 2(4)x + 4² = x² + 8x + 16.

Question 5

What is the GCF of 12x³ and 8x²?

Accepted Answer

4x²

Answer

The GCF of 12 and 8 is 4, and the GCF of x³ and x² is x², giving 4x².

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