Polynomials Flashcards
6 cards from real Algebra Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Polynomials flashcards as text
What is the degree of 4x³ - 2x² + 7x - 1?
Answer: 3
The degree is the highest exponent, which is 3.
Simplify: (3x² + 2x - 1) + (x² - 4x + 5)
Answer: 4x² - 2x + 4
Combine like terms: (3+1)x² = 4x², (2-4)x = -2x, (-1+5) = 4, giving 4x² - 2x + 4.
What is the leading coefficient of -5x⁴ + 3x² - x + 8?
Answer: -5
The leading coefficient is the coefficient of the highest-degree term, which is -5.
Multiply: (x + 3)(x - 2)
Answer: x² + x - 6
Using FOIL: x² - 2x + 3x - 6 = x² + x - 6.
What is (2x²)(3x³)?
Answer: 6x⁵
Multiply coefficients 2 × 3 = 6 and add exponents 2 + 3 = 5, giving 6x⁵.
Factor completely: x² - 16
Answer: (x - 4)(x + 4)
This is a difference of squares: x² - 16 = (x - 4)(x + 4).