Let the polynomial function g be a function of x. The graph of the polynomial has four zeros at -5, -,0,7. Select all the expressions that could represent g: -4x(x + 5)(4x +3)(x – 7) -4x(x + 5)(4x +3)(x – 7)² 4x(x – 5)(x + )(x + 7) 4г(ӕ + 5)(3г — 4)(ӕ — 7) -æ(x + 5)(x + )(x – 7) a. b. C. d. - е.

To find the distance across a small lake, a surveyor has taken the measurements shown. Find the distance across the lake using this information. B 2.58 km 43.3° C NOTE: The triangle is NOT drawn to scale. distance = 3.68 km 1 I A

Use the written statement to construct a polynomial function that represents the required information.A rectangle is twice as long as it is wide. Squares with sides measuring 3 feet are cut out from each corner. Then the sides are folded up to make an open box. Express the volume V of the box as a function of the width x, where V is measured in square feet. V(x) =

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept f(x)=x²-81x² OA. 0, crosses the x-axis; 9, crosses the x-axis -9, crosses the x-axis OB. O, touches the x-axis and turns around; 9. crosses the x-axis; -9, crosses the x-axis OC. O touches the x-axis and turns around; 81. touches the x-axis and turns around OD. O touches the x-axis and turns around; 81, crosses the x-axis b SAMSUNG Time Remaining: 01:22:59 Next 10:54 AM 3/15/2023

Given the polynomial function, g(x)=-(2-x)(x^2+1)(x+3)^2 , identify:  a. The leading term b. The degree c. The end behaviors and state using math notation  d. The number of possible x-intercepts e. The number of possible turning points

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