# Polynomial Solutions Test, Solving Logarithmic And Exponential Equations, Solving Quadratic Equations By Factoring

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2x^2+5x-18
The volume of a rectangular prism is mc010-1.jpg with height x + 2. Using synthetic division, what is the area of the base?
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5x^2+4x-6
The area of a rectangle is mc011-1.jpg with length x + 3. Using synthetic division, what is the width of the rectangle?
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x = -2, x = 1, or x = 2
One factor of mc017-1.jpg is (x - 2). What are all the roots of the function? Use the Remainder Theorem.
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+-1/9,+-2/9,+-1/3,+-4/9,+-2/3,+-1,+-4/3,+-2,+-4
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 - 2x2 - 3x + 4?
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-4 and 3
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x - 24. -4, -3, 2, 3, 4 Which are actual roots of f(x)?
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The root at point P may be 3/5
The polynomial function f(x) = 5x5 + 3x - 3 is graphed below.
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-4/5 and 3/4
Using the Rational Root Theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x - 12?
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-5, 3, -4 + i, -4 - i
Which of the following is the complete list of roots for the polynomial function mc026-1.jpg?
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5 - 6i
If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
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f(x) = (x + 2i)(x + 3i)(x - 2i)(x - 3i)
Which polynomial function has a leading coefficient of 1 and roots 2i and 3i with multiplicity 1?
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f(x) = x4 - 3x2 - 4
What is the polynomial function of lowest degree with lead coefficient 1 and roots i, -2, and 2?
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x = 2, x = 3, or x = 4
One root of mc020-1.jpg is x = 2. What are all the roots of the function? Use the Remainder Theorem.
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-2, -4, -3 + 2i, -3 - 2i
Which of the following is the complete list of roots for the polynomial function mc025-1.jpg?
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3
log 5x = log(2x + 9)
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1
4ⁿ⁺² = 64
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7
ln(2x-3) = ln 11
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32
2log₄ x = 5
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100
3log x = 6
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96
log x - log 6 = 2 log 4
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4
log₂ x + log₂(x - 3) = 2
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64
log₄ x = 3
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6
3ⁿ⁻² = 81
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-2
-10 + log₃ (x + 3) = -10
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x = 5; x = -1
Solve by factoring. x²-4x-5=0
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x = -1; x = -2
Solve by factoring. x²+3x+2=0
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x = -4; x = -(1/4)
Solve by factoring. 4x²+17x+4=0
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x = 3; x = 8
Solve by factoring. x²-11x+19=-5
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x = -5; x = -2