Polynomials and Quadratics

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Mathematics

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Question 1 1. Which option below best describes the polynomial -8x2 ? first degree polynomial with two terms first degree polynomial with eight terms second degree monomial second degree binomial Question 2 1. Find (3a2 - 2a + 4) - (a2 - 3a + 7) . 2a2 + a - 3 2a2 - 5a + 11 4a2 - 5a + 11 4a2 + a - 3 Question 3 1. The expression 2x(3x2 + 4) can be simplified into which of the following? 5x3 + 6x 6x2 + 8x 6x3 + 4 6x3 + 8x Question 4 1. The expression can be rewritten as which of the following using distribution? Question 5 1. Using the FOIL method, which of the following is equivalent to ? Question 6 1. Which of the following shows the polynomial 25x2y - 30xy factored using the GCF? Question 7 1. Which polynomial is represented by the factors ? Question 8 1. If one of the factors of is , what is the other factor? Question 9 1. Select the polynomial that can be factored as . Question 10 1. Select the polynomial that can be factored as . Question 11 1. Select the correct steps for factoring the polynomial 2 3 . 3 (5x ) + (1) (5x2 - 1) (25x4 + 5x2 + 1) (5x2)3 + (1)3 (5x2 + 1) (25x4 - 5x2 + 1) (5x2)3 + (1)3 (5x2 - 1) (5x4 + 10x2 - 1) (5x2)3 + (1)3 (5x2 + 1) (5x4 - 10x2 + 1) Question 12 1. Select the polynomial that can be factored as . Question 13 1. Which equation has the solution ? Question 14 1. What are the solutions to the equation ? Question 15 1. Use factoring by difference of squares to solve the equation, x = 9 or x = -11 . Question 16 1. Solve the equation, . x = 6 or x = -9 x = -1 or x = -9 Question 17 1. Solve the equation, by completing the square . x = 1 or x = 5 Question 18 1. If there are two real solutions to the equation , which is a possible value of c? 20 17 -5 16 Question 19 1. Solve the equation using the quadratic formula. Question 20 1. Which equation has a narrower graph than y = 3x2? Question 21 1. What are the roots of the graph? 0 and 3 3 and 7 7 and 10 There are no roots Question 22 1. What are the y-intercept and roots of the quadratic function graphed below? The y-intercept is 5, and there are no real roots. The y-intercept is 5, and the roots are -2 and 1. The y-intercept is 1, and the roots are -2 and 1. The y-intercept is 1, and there are no real roots. Question 23 1. Which value represents the x-coordinate of the vertex in the equation ? -1 1 Question 24 1. What is the vertex of the equation ? Question 25 1. The sum of two numbers is equal to 70. Which of the following functions can be use to find the product of the two numbers if one of the numbers is x?
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