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For Exercises 23–38, find the zeros of the function and state the multiplicities. (See Examples 2–4)
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ALEKS 18 WEEKS COLLEGE ALGEBRA
- According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 – x2 – 2x + 1 have? %3D - 01 O2arrow_forwardIn Exercises 34–37, solve each polynomial equation. 34. 3x? = 5x + 2 35. (5x + 4)(x – 1) = 2 36. 15x? – 5x = 0 37. x - 4x2 - x + 4 = 0arrow_forward– 2x2 Given that f(x) = g(x) = 3x – 3, determine each of the following. Make sure to fully simplify your 4x and answer. (a) (ƒ o g)(x)= Preview (b) (g o f)(x)= Preview (c) (ƒ o f)(x)= Preview (d) (g o g)(x)= Previewarrow_forward
- Which function is equivalent to, y = 4x2 - 16x + 11 y = 2(x + 4)2 + 6 y = 4(x – 2)² – 5 y = 4(x + 2)? – 5 y = 2(x – 4)2 – 6arrow_forward3. Let g(x) = x2 + 4x – 1. Evaluate each of the following: (a) g(-4) (b) g(8) (c) g(-1) (d) g(1) 4. Let f(x)=3x2 – 5x. Evaluate each of the following: (a) f(2) (b) f(-8) (c) f(7) (d) f(-1) Cip 96arrow_forwardFor Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples. • In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2). • Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5). To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that x + 4 = (x + 2i)(x – 2i). 115. а. х - 9 116. а. х? - 100 117. а. х - 64 b. x + 9 b. + 100 b. x + 64 118. а. х — 25 119. а. х— 3 120. а. х — 11 b. x + 25 b. x + 3 b. x + 11arrow_forward
- The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4). %3D O True O Falsearrow_forwardWhich function is equivalent tof (x) = -4(x+ 7)² – 6? %3D F.f (x) = -4x2 - 56x – 202 %3D G.f(x) = -4x2 + 14x + 43 %3D H.f(x) = -4x² - 56x – 172 %3D J.f(x)= -4x2 + 190 OF H.arrow_forwardOutside of the United States, the common paper size is called A4 and measures 21 by 29.7 centimeters. Let V (x) = (21–2x)(29.7–2x)(x) be the volume in cubic centimeters of a box made from A4 paper by cutting out squares of side length x in centimeters from each corner and then folding up the sides. What is a reasonable domain for V in this context? Explain or show your reasoning.arrow_forward
- Find the difference quotient and simplify your answer. f(6 + h) – f(6) Ax) = x2 – x+ 1, -, h+0 h f(6 + h) – f(6) = h + 12, h+ 0 h f(6 + h) – f(6) = h + 13, h+0 %3D h f(6 + h) – f(6) = h + 14, h± 0 h f(6 + h) – f(6) = h + 15, h+ 0 %3D h f(6 + h) – f(6) h + 11, h+ 0 harrow_forwardExercise 9.1 What is the coefficient of x6 in the polynomial 14 − 5x² + 6x³ – 22x5 – 19x6 + 10x7arrow_forwardx For problems 6 – 10, use f(x) = to answer each question. x2+1 -arrow_forward
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