NEED HELP PLEASE FAN MEDAL AND TESTIMONIAL
Question 1 (Multiple Choice Worth 4 points) Determine the factors of 5x2 + 29x − 6. (5x − 1)(x + 6) (5x − 6)(x + 1) (5x − 3)(x + 2) (5x − 2)(x + 3) Question 2 (Multiple Choice Worth 4 points) Which of the following is the graph of f(x) = x2 − 5x + 4? graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5 graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5 graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4 graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4 Question 3 (Multiple Choice Worth 4 points) Factor completely 2x3 + 6x2 + 2x + 6. 2[(x + 3)(x2 + 1)] (2x + 6)(x2 + 1) (x + 3)(2x2 + 2) 2(x3 + 3x2 + x + 3) Question 4 (Multiple Choice Worth 4 points) Which polynomial is a perfect square trinomial? 25x2 − 20x − 16 9a2 − 30a − 25 25b2 − 15b + 9 16x2 − 24x + 9 Question 5 (Multiple Choice Worth 4 points) Some steps to rewrite the expression x3 − x + 2x2 − 2 as a product of three factors are shown below: Step 1: x3 − x + 2x2 − 2 Step 2: x3 + 2x2 − x − 2 Step 3: x2(x + 2) − 1(x + 2) Which of the following best shows the next two steps to rewrite the expression? Step 4: (x2 + 1)(x + 2); Step 5: (x + 1)(x + 1)(x + 2) Step 4: (x2 − 1)(x + 2); Step 5: (x − 1)(x + 1)(x + 2) Step 4: (x2 − 1)(x + 2); Step 5: (x + 1)(x + 1)(x + 2) Step 4: (x2 + 1)(x + 2); Step 5: (x − 1)(x + 1)(x + 1) Question 6 (Multiple Choice Worth 4 points) Factor completely 9x2 − 25. (3x + 5)(3x − 5) (3x − 5)(3x − 5) (9x + 5)(x − 5) (9x − 5)(x + 5) Question 7 (Multiple Choice Worth 4 points) Identify the factors of 4x2 + 20x + 25. (4x + 5)(x + 5) (4x − 5)(x − 5) (2x + 5)(2x + 5) (2x − 5)(2x − 5) Question 8 (Multiple Choice Worth 4 points) What are the zeroes of f(x) = x2 − x − 2? x = −2, 1 x = 2, −1 x = −2, −1 x = 2, 1 Question 9 (Multiple Choice Worth 4 points) Factor completely 56a2b3 − 35ab. 7ab(8ab2 − 5) 7a(8b2 − 5ab) Prime 7a(8ab3 − 5b) Question 10 (Multiple Choice Worth 4 points) The graph below shows two polynomial functions, f(x) and g(x): Graph of g of x equals the square of x. Graph of f of x equals the cube of x. Which of the following statements is true about the graph above? g(x) is an odd degree polynomial with a positive leading coefficient. f(x) is an odd degree polynomial with a positive leading coefficient. g(x) is an even degree polynomial with a negative leading coefficient. f(x) is an even degree polynomial with a negative leading coefficient. Question 11 (Multiple Choice Worth 4 points) A polynomial function can be written as (x − 2)(x − 3)(x + 5). What are the x-intercepts of the graph of this function? (2, 0), (3, 0), (−5, 0) (−2, 0), (−3, 0), (5, 0) (2, 0), (3, 0), (5, 0) (−2, 0), (−3, 0), (−5, 0) Question 12 (Multiple Choice Worth 4 points) Factor the GCF: 21x3y4 + 15x2y2 − 12xy3. 3xy(7x2y3 + 5x − 4y) 3xy(7x2y + 5x − 4y2) 3xy2(7x2y + 5x − 4y) 3xy2(7x2y2 + 5x − 4y) Question 13 (Multiple Choice Worth 4 points) Factor completely 3x3 − 6x2 − 24x. 3x(x − 4)(x + 2) 3x(x + 4)(x − 2) 3x(x − 3)(x − 2) 3x(x + 3)(x − 2) Question 14 (Multiple Choice Worth 4 points) Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3 Which of the following functions best represents the graph? f(x) = x3 + x2 − 9x − 9 f(x) = x3 + 4x2 − x − 4 f(x) = x3 + 3x2 − 3x − 9 f(x) = x3 + 2x2 − 4x − 8 Question 15 (Multiple Choice Worth 4 points) Select the factors of ax − 2ay + 3bx − 6by. (a + 2b)(x − 3y) (a − 2b)(x + 3y) (a + 3b)(x − 2y) (a − 3b)(x + 2y) Question 16 (Multiple Choice Worth 4 points) Which shows 542 − 462 being evaluated using the difference of squares method? 542 − 462 = (2916 + 2116)(2916 − 2116) = 4,025,600 542 − 462 = (54 + 46)(54 − 46) = (100)(8) = 800 542 − 462 = 2916 − 2116 = 800 542 − 462 = (54 − 46)2 = 82 = 64 Question 17 (Multiple Choice Worth 4 points) Select the factors of x2 − 14x + 49. (x + 49)(x + 1) (x + 7)(x + 7) (x − 7)(x − 7) (x − 49)(x − 1) Question 18 (Multiple Choice Worth 4 points) What are the factors of x2 − 81? (x + 9)(x − 9) (x − 9)(x − 9) (x + 3)(x − 27) Prime Question 19 (Multiple Choice Worth 4 points) Identify the GCF of 9a4b4 − 27a3b3 + 18a3b2. 9a3b3 9a3b2 3a2b3 3a3b2 Question 20 (Multiple Choice Worth 4 points) Which polynomial is a difference of two squares? x2 + 25 x2 − 25 x2 − 10 x2 + 10 Question 21 (Multiple Choice Worth 4 points) Identify the factors of x2 − 5x − 24. (x + 8)(x − 3) (x − 8)(x + 3) (x + 4)(x − 6) (x − 4)(x + 6) Question 22 (Multiple Choice Worth 4 points) Determine the factors of 4ry + 3rz + 8xy + 6xz. (4x + 4)(2y + 3z) (4x + 3z)(2y + r) (4y + r)(2x + 3z) (4y + 3z)(2x + r) Question 23 (Multiple Choice Worth 4 points) Factor x2 − 4x + 5. Prime (x + 5)(x − 1) (x − 5)(x − 1) (x + 5)(x + 1) Question 24 (Multiple Choice Worth 4 points) Factor completely −6x2 + 18x − 24. −1(x2 − 18x + 24) −6x(x2 − 3x + 4) −6(x2 − 3x + 4) −6(x2 + 3x − 4)
This is a whole test...
1) Multiply the given options out to see which yields the given polynomial
Only 24 questions ;)
Yea Lol sorry If its too long
2) It's a parabola (because 2nd degree polynomial). The formula for finding maximum/minimum is x=-b/(2a)
2) It's a parabola (because 2nd degree polynomial). The formula for finding maximum/minimum is x=-b/(2a) Remember that the form for a parabola is ax^2 + bx + c
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