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. Calculate the product: (x - 3)(2x + 1) a) 2x² - 5x - 3 b) 2x² - 7x + 3 c) 2x² + 5x - 3 d) 2x² - 3x + 3 To find the product, use the distributive property (FOIL): (x - 3)(2x + 1) Multiply the first terms, outer terms, inner terms, and last terms: x(2x) + x(1) - 3(2x) - 3(1) Simplify the expression: 2x² + x - 6x - 3 Combine the like terms: 2x² - 5x - 3 2 / 5 2. Factor the polynomial x² - 25 a) (x - 5)(x + 5) b) (x - 5)(x - 5) c) (x + 5)(x + 5) d) (x - 5)(x - 25) To factor the polynomial, recognize that it's a difference of squares: x² - 25 The difference of squares can be factored as the product of two binomials: (x - 5)(x + 5) 3 / 5 3. Find the product: (3x - 2)(x + 4) a) 3x² + 10x - 8 b) 3x² - 10x + 8 c) 3x² - 10x - 8 d) 3x² + 2x - 8 To find the product, use the distributive property (FOIL): (3x - 2)(x + 4) Multiply the first terms, outer terms, inner terms, and last terms: 3x(x) + 3x(4) - 2(x) - 2(4) Simplify the expression: 3x² + 12x - 2x - 8 Combine the like terms: 3x² + 10x - 8 4 / 5 4. Multiply the polynomials: (x + 2)(x - 3) a) x² + x - 6 b) x² - x - 6 c) x² - x + 2 d) 2x² - x - 6 To multiply the polynomials, use the distributive property (FOIL): (x + 2)(x - 3) Multiply the first terms, outer terms, inner terms, and last terms: x(x) + x(-3) + 2(x) - 2(3) Simplify: x² - 3x + 2x - 6 Combine the like terms: x² - x - 6 5 / 5 5. Solve the equation: x² - 6x + 9 = 0 a) x = -3 b) x = 3, x = -3 c) x = 3 d) x = 0 To solve the equation, first factor the quadratic: x² - 6x + 9 = (x - 3)(x - 3) Set the factors equal to 0: (x - 3)(x - 3) = 0 x - 3 = 0 → x = 3 Since both factors are the same, there is only one solution: x = 3. Your score is 0% Restart Quiz