ADDING & SUBTRACTING
Combine like terms: 3x² + 2x - 1 + 5x² - 3x + 4
Answer: 8x² - x + 3
Multiply: (x + 2)(x - 3)
Answer: x² - x - 6
Factor: x² - 4
Answer: (x + 2)(x - 2)
Divide: (x² + 3x + 2) ÷ (x + 2)
Answer: x + 1
Find the degree of: 3x⁴ - 2x² + 5
Answer: 4
Subtract (2x³ - 4x² + x - 3) from (5x³ + 2x² - 2x + 1)
Answer: 3x³ + 6x² - 3x + 4
Find the product: (2x - 1)(3x + 4)
Answer: 6x² + 5x - 4
Factor completely: 2x² + 10x + 12
Answer: 2(x + 2)(x + 3)
Divide: (x³ - 2x² - 4x + 8) ÷ (x - 2)
Answer: x² + 0x - 4
Identify the leading term: -2x³ + 5x² - x + 1
Answer: -2x³
Add three polynomials: (2x² - 3x + 1) + (4x² + 2x - 5) + (-x² + x + 2)
Answer: 5x² + 0x - 2
Multiply: (x² + 2x + 1)(x - 2)
Answer: x³ - 2x² + 2x - 2
Factor: x³ + x² - 6x
Answer: x(x - 2)(x + 3)
Divide: (2x³ - 3x² - 12x + 20) ÷ (2x - 5)
Answer: x² + x - 4
Find the degree of: (2x² + 3)(x³ - 1)
Answer: 5
Combine like terms with fractional coefficients: (⅓x² + ¼x - ½) + (⅔x² - ¾x + ¼)
Answer: x² - ½x - ¼
Find the product: (2x² - 3x + 1)(3x - 2)
Answer: 6x³ - 13x² + 7x - 2
Factor completely: 3x³ + 15x² + 18x
Answer: 3x(x + 2)(x + 3)
Divide: (x⁴ - 5x² + 4) ÷ (x² - 1)
Answer: x² - 4
After multiplying (ax² + bx + c)(dx + e), what is the degree?
Answer: 3
Subtract (-2x³ + ½x² - ¼x + 2) from (3x³ - ⅓x² + ½x - 1)
Answer: 5x³ - ⅚x² + ¾x - 3
Multiply three binomials: (x + 1)(x - 2)(x + 3)
Answer: x³ + 2x² - 5x - 6
Factor: x⁴ - 16
Answer: (x + 2)(x - 2)(x² + 4)
Divide: (3x⁴ - 5x³ - x² + 7x - 6) ÷ (x - 2)
Answer: 3x³ + x² - 3x + 1
If a polynomial has terms x⁷, x⁴, x², and the degree is 9, what power of x is missing from the leading term?
Answer: x⁹