Math Quiz -Polynomials Report a question What's wrong with this question? You cannot submit an empty report. Please add some details. Math Quiz -Polynomials Covering: performing operations with polynomials (addition, subtraction, multiplication, division, factoring), and simplifying and manipulating rational expressions, including the arithmetic of rational functions, as well as identifying and solving rational equations. 1 / 5 1. Add the polynomials: (2x² + 3x - 4) + (x² - x + 5) a) 3x² + 2x + 1 b) 2x² + 2x - 1 c) 3x² - x - 9 d) 2x² - x + 1 To add the polynomials, combine the like terms. (2x² + 3x - 4) + (x² - x + 5) 2x² + x² + 3x - x - 4 + 5 Combine the like terms: 3x² + 2x + 1 2 / 5 2. Evaluate the expression: 3x² - 5x + 2 for x = 4 a) 26 b) 30 c) 34 d) 60 To evaluate the expression, substitute the value of x into the given expression: 3x² - 5x + 2 Substitute x = 4: 3(4²) - 5(4) + 2 Simplify: 3(16) - 20 + 2 Calculate the values: 48 - 20 + 2 = 30 3 / 5 3. Multiply the polynomial by a constant: -3(2x² - 5x + 4) a) -6x² + 15x - 12 b) -3x² + 15x - 12 c) 6x² + 15x - 12 d) 6x² - 15x + 12 To multiply the polynomial by a constant, multiply each term by the constant: -3(2x² - 5x + 4) Distribute the constant: -6x² + 15x - 12 4 / 5 4. Simplify the expression: 5x - 2x² + 3x² - 7x + 2 a) x² - 2x + 2 b) x² - 2x - 2 c) x² + 2x + 2 d) x² + 2x - 2 To simplify the expression, combine the like terms. 5x - 2x² + 3x² - 7x + 2 Combine the x² terms and the x terms: (-2x² + 3x²) + (5x - 7x) + 2 Simplify: x² - 2x + 2 5 / 5 5. Solve the equation: (x - 1)(x + 3) = 0 a) x = 1, x = -3 b) x = 1, x = 3 c) x = -1, x = -3 d) x = -1, x = 3 To solve the equation, set both factors equal to 0: x - 1 = 0 → x = 1 x + 3 = 0 → x = -3 The solutions are x = 1 and x = -3. Your score is 0% Restart Quiz