Math Quiz 4

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Name: ______________________ Class: _________________ Date: _________ ID: A quiz 6.1-6.3 Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. ____ ____ 1. Determine which binomial is a factor of −2x 3 + 14x 2 − 24x + 20. a. x + 5 b. x + 20 c. x – 24 d. x – 5 2. The volume of a shipping box in cubic feet can be expressed as the polynomial 2x 3 + 11x 2 + 17x + 6. Each dimension of the box can be expressed as a linear expression with integer coefficients. Which expression could represent one of the three dimensions of the box? a. x + 6 c. 2x + 3 b. x + 1 d. 2x + 1 Short Answer 3. Classify –7x5 – 6x4 + 4x3 by degree and by number of terms. 2 3 4. Write the polynomial 6x − 9x + 3 in standard form. 3 5. Write 4x2(–2x2 + 5x3) in…show more content…
The volume in cubic feet of a box can be expressed as V(x) = x 3 − 6x 2 + 8x, or as the product of three linear factors with integer coefficients. The width of the box is 2 – x. a. Factor the polynomial to find linear expressions for the height and the width. b. Graph the function. Find the x-intercepts. What do they represent? c. Describe a realistic domain for the function. d. Find the maximum volume of the box. Other 17. What are multiple zeros? Explain how you can tell if a function has multiple zeros. 18. Use division to prove that x = 3 is a real zero of y = −x 3 + 9x 2 − 38x + 60. 2 ID: A quiz 6.1-6.3 Answer Section MULTIPLE CHOICE 1. D 2. D SHORT ANSWER quintic trinomial 2x 2 − 3x 3 + 1 20x5 – 8x4; quintic binomial f(x) = 0.08x4 – 1.73x3 + 12.67x2 – 34.68x + 35.58 T(x) = 0.4x 3 + 0.8x 2 + 0.1x; 630.3 thousand trees 4x(x – 4)(x + 6) relative minimum: (0.36, –62.24), relative maximum: (–3.69, 37.79), zeros: x = –5, –2, 2 10. 0, 3, 2 3. 4. 5. 6. 7. 8. 9. 11. 12. 13. 14. 15. –3, multiplicity 2; 5, multiplicity 6 x 3 + 19x 2 − x + 9 x 2 − 3x + 7, R –38 4 a. s 3 2 3 (h − s)s 2 b. or hs − s 3 3 3 3 + hs 2 3 2 c. 2s or 2s + hs 3 3 3 1 ID: A 16. a. V(x) = x(2 − x)(4 − x)

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