Question 1:
Simplify the following expression.
6x5(x4)
Question 2:
Write a polynomial that fits the description:
A fifth-degree polynomial with leading coefficient 4
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1024x5 + 3x + 1
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4x5 + 3x + 1
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4x4 + 3x3 + 4x2 + 5x + 1
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6x5 + 3x + 1
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x5 + 4
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Question 3:
Write a polynomial in standard form and identify the degree and leading coefficient of the polynomial
-x + 19x2 + 1
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-x + 19x2 + 1 Degree:1; Leading Coefficient: -1
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19x2 - x + 1 Degree: 19; Leading Coefficient: 1
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19x2 - x + 1 Degree:3; Leading Coefficient: 1
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19x2 = x + 1 Degree: 2; Leading Coefficient: -19
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19x2 - x + 1 Degree: 2; Leading Coefficient: 19
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Question 4:
Perform the indicated operation below and simplify if possible by combining like terms. Write the result in standard form.
(6y2 - 7y - 3) - (2y2 - 9y -7)
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4y2 + 2y + 4
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4y2 + 2y - 10
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4y2 - 16y +4
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8y2 -16y + 4
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8y2 + 2y + 4
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Question 5:
Multiply or find the special product.
(4x - 9) (8x - 4)
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32x2 + 36
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32x2 + 88x -36
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32x2 + 88x + 36
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32x2 - 88x - 36
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32x2 - 88x + 36
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Question 6:
Multiply or find the special product
(x+4)(x+9)
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x2 + 13x
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x2 + 4x + 36
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x2 + 36
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x2 + 13x + 36
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x2 + 13x + 9
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Question 7:
Factor out the common factor.
8x3 - 104x
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8x3(1 - 13x)
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8(x3 - 13x)
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8x2(x - 13)
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x(8x2 - 104)
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8x(x2 - 13)
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Question 8:
Completely factor the difference of two squares.
x2 - 16
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(x+4) - (x-4)
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(x+4)2
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(x+4)(x-4)
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(x+4)+(x-4)
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(x-4)2
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Question 9:
Factor the perfect square trinomial.
x2 - 16x + 64
(x+8)(8-x)
(x+8)2
(x-8)2
(x+8)(x-8)
(x+8)
Question 10:
Factor the trinomial
x2 + 14x + 45
(x-5)(x-9)
(x+5)(x-9)
(x+5)(x+9)
(x-5)-(x-9)
(x-5)(x+9)
Question 11:
Completely factor the expression
5x2 - 125
5(x+5)(x+125)
5(x+5)(x+5)
5(x-5)(x-5)
5(x+5)(x-125)
5(x+5)(x-5)
Question 12:
Find the domain of the expression.
1/(5-x)
All real numbers x
All real numbers x such that x ≠ 5
All nonnegative real numbers x such that x = 5
All real numbers x such that x < 5
All real numbers x such that x ≠ 1/5
Question 13:
Find the coordinates of the point labeled VI
(3,2)
(3,-2)
(-2,-3)
(-3,-2)
(2,3)
Question 14:
Plot the points below whose coordinates are given on a Cartesian coordinate system.
(-2,7), (-7,-2), (7,-5), (7,-8)
Question 15:
Find the distance between the points
(-7,8), (5,-8)
Question 16:
Evaluate the expression for the value of x=-3. (If not possible, state the reason) 2x-2
-9
8
-6
6
-8