Algebra Test Polynomials

Question 1

What is the degree of 4x³ - 2x² + 7x - 1?

Accepted Answer

3

Answer

The degree is the highest exponent, which is 3.

Question 2

Simplify: (3x² + 2x - 1) + (x² - 4x + 5)

Accepted Answer

4x² - 2x + 4

Answer

Combine like terms: (3+1)x² = 4x², (2-4)x = -2x, (-1+5) = 4, giving 4x² - 2x + 4.

Question 3

What is the leading coefficient of -5x⁴ + 3x² - x + 8?

Accepted Answer

-5

Answer

The leading coefficient is the coefficient of the highest-degree term, which is -5.

Question 4

Multiply: (x + 3)(x - 2)

Accepted Answer

x² + x - 6

Answer

Using FOIL: x² - 2x + 3x - 6 = x² + x - 6.

Question 5

What is (2x²)(3x³)?

Accepted Answer

6x⁵

Answer

Multiply coefficients 2 × 3 = 6 and add exponents 2 + 3 = 5, giving 6x⁵.

Algebra Test Practice Test