Determine whether the statement is true or false. If P(x) = (x − 8) (x + 1)³, then the graph of the polynomial function y = P(x) crosses the x-axis at (8,0). Choose the correct answer below. ОА. ○ B. ○ C. O D. 6 The statement is true because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6 is even. Thus, the graph crosses the x-axis at (0,8). The statement is false because (x - 8) is a factor of the given polynomial function P(x), and the exponent, 6 is odd. Thus, the graph is tangent to the x-axis at (0,8). 6 The statement is false because (x-8)° is a factor of the given polynomial function P(x), and the exponent, 6 is even. Thus, the graph is tangent to the x-axis at (8,0). The statement is true because (x-8) is a factor of the given polynomial function P(x), and the exponent, 6 is odd. Thus, the graph crosses the x-axis at (8,0).

C. Choose the letter of the correct answer. 1. Which of the following is an example of polynomial function? A. f(x) =+ 3x-1 B. ffx) = 2a2x 2. From the choices, which polynomial function in factored form represents the glven graph? A. f(x) = (x+2) px+1) (x-1) B. f(x) = (x-2) (x+1) (x-1) C. fx) = xpx+2) (x+1) (x-1) D. fx) = x(x-2) (x+1) (x-1) C. f6) = V7s-2x D. Fx) = x*+ V3-S 3. If you will draw the graph of y=x (x+2)a, how will you sketch it with respect to the x-ads A. Sketch it crossing both (-2, 0) and (0. 0). B. Sketch it crossing (-2, 0) and tangent at (0. 0). C. Sketch it tangent at (-2, 0) and crossing (0, 0). D. Sketch it tangent at both (-2, 0) and (0. 0). 4. Your classmate Linus encounters difficulties in showing a sketch of the graph of y = 2x + 3x2 -4x -6. You know that the quickest technique is the leading coefficient test. You want to help Linus In his problem. What hint/clue should you give A. The graph fols to the left and rises to the right. B. The graph rises to both…

The speed, s (in meters per second) at which a tsunami moves is determined by the depth, d (in meters) of the V gd, where g is approximately 7.4 meters per second squared. V oceán. s = Find the speed of a tsunami in a region of the ocean that is 831 meters deep. Round your answer to the nearest meter per second. Do not include units in your answer. Next 围

The graph of the polynomial function is given. Select the algebraic equation that matches the graph. y C a Select one: O a. y = k(x +a)(x - b) (x- c), k, a, b, c > 0 O b. y = k(x - a)(x + b)² (x + c), k, a, b, c > 0 O c. y= k(x+ a)(x - b)² (x- c), k, a, b, c > 0 O d. y= k(x- a)(x +b) (x +c)°, k, a, b, c > 0 |

Write a polynomial that is best represented by the graph. (-7,0) (-6, 0) 10 | (1.0) y = x – 12x² + 29x + 42 y = x³ + 12x² + 29x – 42 O A) B.) y = x – 14x? + 55x – 42 y = x³ + 14x² + 55x + 42

ACT 5