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WorksheetsPolynomials and Factoring Quiz
Total questions: 164
Worksheet time: 8hrs 29mins
5a + 2b - 3a + 4
4x2 - 3x + 11 -2x
(5x + 2) + (4x + 5)
(5x + x2 - 4) - (4x - x2 + 6)
What is the perimeter of the rectangle?
x²+8x-5
2x²+16x-10
2x²+10x-8
6x-2
5a + 2b - 3a + 4
(5x + 2) + (4x + 5)
(4x - 2x3) + (5x3 - 4x + 5)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(3 - 2x + 2x2) + (4x - 5 + 3x2)
A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?
(HINT: Perimeter means add all the sides together. Just do not forget how many sides a rectangle has).
4x - 12
4x - 1
8x - 2
4x2 - 2x - 12
(4x2+ x) - (x2+ 2x)
Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
-8n2 - 8n + 3
-7n2 - 8n + 3
-6n2 - 8n + 3
-7n2 - 4n + 3
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
5x(2x3+6)
10x4+30x
10x3+30x
7x4+11x
(x - 7)(x + 7)
x2 + 7x - 49
x2 - 7x + 49
x2 - 49
x2 + 49
(2x - 1)(x + 2)
2x2 + 3x - 2
2x2 - 5x - 2
2x2 + 3x + 2
2x2 - 5x + 2
(x - 4)(x - 6)
x2 -10x + 24
x2 - 10x - 24
x2 +10x + 24
x2 + 10x - 24
Simplify:
2x ( -2x -3)
-4x - 3
x2 - 3
-4x2 - 6x
-4x - 6
Simplify:
5(3x+2)
3x+10
15x+10
15x-10
3x-10
(x - 3)(x +10)
x2 - 7x + 13
x2 - 6x - 30
x2 + 7x - 30
x2 + 13x + 30
(x + 5)(x + 4)
x2 + x + 20
x2 + 20x + 9
x2 + 9x + 20
x2 - 9x + 54
Multiply
(4x+3)(2x-1)
8x2-2x-3
8x-3
8x2+6x-3
8x2+2x-3
Simplify the expression
(x - 3)2
x2 - 6x + 9
x2 + 9
x2 + 6x - 9
x2 + 6x + 9
Find the volume of the rectangular prism with length (x + 2), width (x - 4), and height (2x + 1).
HINT:
V=l×w×h
x2−8x
x2−2x−8
2x3−3x2−18x−8
2x3−8
Find the volume of the rectangular prism.
2x3+9x2−18
x3+9x2+18x
x3−2x+5
FIND THE AREA OF THE RECTANGULAR PRISM.
3x2−8x
3x2+8x
3x −8
3x2+8
Find the area of the rectangular prism.
29x−23
29x2+23
9x2+23
29x+23
Find the volume of the shape.
24x3−52x2−8x+20
24x3+52x2−8x−20
24x3+52x2+8x−20
What is the perimeter of the rectangle?
x²+8x-5
2x²+16x-10
2x²+10x-8
6x-2
What is the Perimeter?
3x - 3 inches
6x - 6 inches
3x - 6 inches
6x - 3 inches
If a rectangular field has a length of x+7 and a width of 4x−2 , write an expression for the length of fencing to go around the outer edges.
5x+5
10x+10
Why do we need fences?
4x2−14
Choose the correct answer below.
−2x2−3x+14
7x4+9x3−4x2−3x−4
7x5−x4+10x3−x7
3x4+4x3−6x2+6
Choose the correct answer below.
P=6x2+18x−10
P=3x2+9x−5
P=12x−5
P=24x2−30
Find the perimeter of the triangle
4x+64
4x2+64
3x+50
3x2+50
Find the perimeter of a rectangle with a length of 5x−6 and a width of 3x2
6x2+10x−12
6x4+10x2−12
6x2+10x
6x2+10x+12
23x + 36
6x2+10x+24
9x2+15x+36
9x6+15x3+36
x+2
4x2+4
4x2+20
4x2+16x+4
10x + 15
8n3 + 2n2
2n3+16n+12
Factor out the GCF
3x3 + 9x
3x (x2 + 3)
3x ( x3 + 9)
x (3x2 + 9)
3x (x3 + 3x)
6m2 + 16m
10a4+16a+10a2
-10xy9z + 8y3z5
-2y4z(20xy6 - 4z4)
-2y3z(5xy6 - 4z4)
-2y3z(5xy6z - 4z5)
-2y3z(5xy6z - 8z4)
-24m3n5p + 24mn4p2 + 4mn5
49m3q2 - 35mq2 - 42m3q4p2
-8x2y2 + 32yz + 40y
-8z(x2 - 4z - 1)
-8y(4x2y2 - 16yz - 20y)
-8y(x2y - 4z - 5)
-4y (2x2y - 40z - 10)
-64a4b - 96ab3 + 8a
-8a(8a3b + 12b3 - a)
-8ab(8a3 - 12b2 - 1)
-8a(8a3b + 12b3 - 1)
-84x4 + 72xy2 + 12xy
-12x(7x3 - 6y2 - y)
-6x(7x3 - 2y2 - 1)
-4x(7x3 - 6y2 - y)
-12x(7x2 - 6y2 - 1)
What is the GCF of 18 and 24?
3
6
8
9
12x + 9
3x2 - 9x -120
10x + 15
Factor:
7x(x+49)
7(x+7)
49(x+7)
x(7+49)
Factor:
5a2−15
5(a2−15)
5a(a−15)
5(a2−3)
5a(a−3)
64−40ab
Factor:
4(16−10ab)
4ab(16−10ab)
8ab(8−5ab)
8(8−5ab)
36a2+24a
Factor:
12a(3a+2)
a(36a+24)
12(3a2+2a)
a2(36+24a)
10x2+5x
5(2x2+5)
5x(2x+1)
10x2(1x+2x)
5x2(2x2+1)
12x + 6
10x³ - 15x
Factor 4b5+4b3+16b2
4b3(b4+b2+4b)
4b3(b4+4b+5)
4(b5+b3+4b2)
4b2(b3+b+4)
Which answer choice lists all the factors for 27?
3, 9
1, 3, 9, 27
1, 3, 6, 9, 12, 27
10x2 + 15x-5
x³+7x²-2x-14
x2 + 81
( x - 9 ) ( x - 9 )
( x - 9 ) ( x + 9 )
( x + 9 ) ( x + 9 )
Can't factor using Diff. of Squares
25x2-81
The solutions of the quadratic equation
x2 - 9 =0 are
x = 3 only
x = 3 or x = -3
x = -3 only
x = -9 or x = 9
The solutions of the quadratic equation
x2 - 49 =0 are
x = 7 only
x = 7 or x = -7
x = -49 only
x = -49or x = 49
Solve by factoring this quadratic equation
x2 - 15x + 50 =0
x =-15 or 50
x = 10 or x = 5
x = -10 or x=-5
x = 0 or x = 10
Solve by factoring this quadratic equation
4x2 - 5x - 6 =0
x =-2 or -4/3
x = -3/4 or x = 2
x = -2 or x=3/4
x = 4 or x = 5
Choose the correct factored form for the quadratic expression:
x2 + 5x - 6
(x - 6)(x + 1)
(x + 6)(x - 1)
(x - 2)(x - 3)
(x + 2)(x + 3)
Choose the correct factored form for the quadratic expression:
x2 - 12x + 27
(x - 3)(x + 4)
(x - 3)(x - 4)
(x - 9)(x - 3)
(x + 9)(x + 3)
Carefully factor and solve on paper. Then choose the correct solutions.
b² + 12b + 35 = 0
b = 5 and b = 7
b = -5 and b = -7
b = -5 and b = 7
b = 5 and b = -7
x2 - 225
Solve: x2+64=0
x= +/- 8
x= +/- 8i
x= +/- 4
x= +/- 64i
Factor the quadratic expression completely.
15x2−4x−4=
(a)
Factor the quadratic expression completely.
8x2−18x−5=
(a)
Factor the quadratic expression completely.
24x2+34x+12=
(x+9)(x+8)
(4x+3)(3x+2)
2(4x+3)(3x+2)
2(x+8)(x+9)
Reduce or simplify 12/18
2/3
4/5
6/12
2/8
15/12
15/30
24/6
8/24
Simplify
(8 )(-2/6)
2 16/6
-16/6
16/48
8/3
(-1)(a + b - 3)
-1/2(-8x + 2)
4x + 1
16x + 1
-4x + 2
4x - 1
Simplify:(-39n - 52p)(-1/13)
3n + 4p
3n - 4p
-3n + 4p
-3n - 4p
Solve the equation by factoring.
x = {3,8}
x = {-3,8}
x = {3,-8}
x = {-3,-8}
Solve the equation by factoring.
x = {1}
x = {-1}
x = { }
no solution
Solve the equation by factoring.
x = {-5,-3}
x = {5,-3}
x = {-5,3}
x = {5,3}
How many solutions can a quadratic have?
1 solution
3 solutions
0 solutions
2 solutions
What can the roots to a quadratic equation be called?
zeros
solutions
x-intercepts
none of the choices
What is the quadratic formula?
What is the axis of symmetry formula?
y = mx+b
y = ax2+bx+c
b2 - 4ac
x = -b/2a
Solve the equation using the quadratic formula.
x2 + 7x = x - 10
-6/2 + √4
-6/2 - √4
no solution
∅
Solve the equation using the quadratic formula.
4x2 +9x = 12x
x = {0, 3/4}
x = {0, -3/4}
x = {0, 4/3}
no solution
Use the discriminant to find the number of solutions for the following equation.
y = x2 +10x + 25
2 solutions
1 solution
0 solutions
Use the discriminant to find the number of solutions for the following equation.
y = -3x2 +5x - 8
2 solutions
1 solution
0 solutions
Use the discriminant to find the number of solutions for the following equation.
y = 4x2 - 9
2 solutions
1 solution
0 solutions
Which value is the vertex?
(-4, 0)
(-1, -9)
(0, -8)
(2, 0)
Which value is the y-intercept?
(-4, 0)
(-1, -9)
(0, -8)
(2, 0)
What are the zeros of this graph?
x = {-4, 2}
(-4, 0 ) and (2, 0)
x = {-1, 0}
(-1, 9 ) and (0, -8)
Does this graph have a maximum or a minimum?
maximum
minimum
I am not sure.
neither
Does this graph have a maximum or a minimum?
maximum
minimum
I am not sure.
neither
Does this graph have any roots?
yes
no
I am not sure.
Does this graph have a y-intercept?
yes
no
I am not sure.
What is the equation for standard form?
y = x2 + bx + c
y = ax2 + bx + c
y = mx + b
Ax + By = C
{49,-49}
{8,-8}
{7,-7}
No Solution
{12.88,-12.88}
{13.22,-13.22}
{16}
No Solution
{6.78,-6.78}
{8,-8}
{7,-7}
No Solution
Find the zero(s) by taking square roots.
x2−7=0
{7}
{−7}
{± 7}
{±7}
4x2 - 25 = 0
Solve by taking square roots:
3 + r2 = 12
r = ±12 - 3
r = 3, r = - 3
r = -3
r = 3
