tutor for u

Polynomials, Linear Factors, and Zeroes

Write the polynomial in factored form.

4x3 + 8x2 – 96x  (1 point)

• 6x(x + 4)(x – 4)
• 4x(x – 4)(x + 6)
• 4x(x + 6)(x + 4)
• –4x(x + 6)(x + 4)

What are the zeroes of the function? Graph the function.

y = x(x + 2)(x + 5)  (1 point)

• 0, 2, 5
• –2, –5
• –2, –5, 2
• 0, –2, –5

What is the relative maximum and minimum of the function?

= 2x3 + x2 – 11x

 (1 point)

• The relative maximum is at (–1.53, 8.3) and the relative minimum is at (1.2, –12.01).
• The relative maximum is at (–1.53, 12.01) and the relative minimum is at (1.2, –8.3).
• The relative maximum is at (–1.2, 8.3) and the relative minimum is at (1.53, –12.01).
• The relative maximum is at (–1.2, 12.01) and the relative minimum is at (1.53, –8.3).

Miguel is designing shipping boxes that are rectangular prisms. The shape of one box, with height h in feet, has a volume defined by the function V(h) = h(h –1 0)(h – 8). What is the maximum volume for the domain 0 < h < 10?Round to the nearest cubic foot.

 (1 point)

• 10 ft3
• 107 ft3
• 105 ft3
• 110 ft3