Algebra Test Polynomials 2 — Questions and Answers
Question 1: Divide 6x³ by 2x.
- 3x² (Correct answer)
- 4x²
- 3x³
- 12x⁴
Correct answer: 3x²
Divide coefficients 6/2 = 3 and subtract exponents 3 - 1 = 2, giving 3x².
Question 2: Evaluate P(x) = 2x² - 3x + 1 at x = 2.
- 1
- 3 (Correct answer)
- 5
- 7
Correct answer: 3
P(2) = 2(4) - 3(2) + 1 = 8 - 6 + 1 = 3.
Question 3: Which of the following is a trinomial?
- 5x
- 3x² - 1
- x³ + 2x - 7 (Correct answer)
- 4x⁴ + x³ - x² + 1
Correct answer: x³ + 2x - 7
A trinomial has exactly three terms; x³ + 2x - 7 has three terms.
Question 4: Expand: (x + 4)²
- x² + 16
- x² + 4x + 16
- x² + 8x + 16 (Correct answer)
- x² - 8x + 16
Correct answer: x² + 8x + 16
(x + 4)² = x² + 2(4)x + 4² = x² + 8x + 16.
Question 5: What is the GCF of 12x³ and 8x²?
- 4x
- 4x² (Correct answer)
- 8x²
- 12x³
Correct answer: 4x²
The GCF of 12 and 8 is 4, and the GCF of x³ and x² is x², giving 4x².
Question 6: Subtract: (5x² - 3x + 2) - (2x² + x - 4)
- 3x² - 4x + 6 (Correct answer)
- 3x² - 4x - 2
- 7x² - 2x - 2
- 3x² + 4x - 6
Correct answer: 3x² - 4x + 6
Distribute the negative: (5-2)x² = 3x², (-3-1)x = -4x, (2+4) = 6, giving 3x² - 4x + 6.
Algebra Test Polynomials 2
Divide 6x³ by 2x.