Adding and Substracting Polynomials
Combine like terms
−2x2 + x + 5x3 + 4x + 2x2
What is
5x3 + 5x
Find the product.
(2y − 6)2
A. 4y2 − 24y + 36
B. 4y2 + 24y − 36
C. 4y2 + 36
D. 4y2 − 16y − 12
What is
A. 4y2 − 24y + 36
What is the GCF of
x3 + x2 + x
What is
x
Complete the expressions to write the factored form of
y2 + 11y + 28
What is
(y + 4) (y + 7)
What is the GCF of 70 and 42?
GCF =
What is
7
Simplify
(3x3 + 2x2 + 4x) + (4x3 + 6x2 − 3x).
A. 7x3 + 8x2 + x
B. 7x3 + 4x2 + x
C. 7x3 + 8x2 − x
D. 7x3 + 4x2 − x
What is
A. 7x3 + 8x2 + x
What is the product of
(4x2 + 6)(x2 − 3x + 8)?
A 4x4 − 12x3 + 38x2 − 3x + 48
B 4x4 − 12x3 + 38x2 − 18x + 48
C 4x4 − 12x3 + 38x2 − 3x + 5
D 4x4 − 12x3 + 38x2 − 18x + 14
What is
B 4x4 − 12x3 + 38x2 − 18x + 48
What is the GCF of
-64x3 + 48x2 - 32x
What is
16x
Find the factored form of
x2 − 9x + 20.
A (x − 4)(x + 5)
B (x + 4)(x + 5)
C (x − 4)(x − 5)
D cannot be determined
What is
C (x − 4)(x − 5)
What is the solution to the equation
–45 − x = 4(x + 10)?
x =
What is
x = -17
Simplify (5x2 + 4x − 7) − (x2 − 2x).
A. 4x2 + 6x
B. 4x2 + 6x − 7
C. 4x2 − 2x − 7
D. 4x2 − 2x + 7
What is
B. 4x2 + 6x − 7
Solve
24x3 − 16x2 + 20x divided by 4x?
What is
6x2 - 4x + 5
Factor out the GCF from the terms of the polynomial
−2x5 − 6x3 − 16x2.
A. −2x(x4 + 3x2 + 8x)
B. −2x2(x3 + 3x + 8)
C. −2x2(−x3 − 3x − 8)
D. The polynomial is already fully factored.
What is
B. −2x2(x3 + 3x + 8)
What is the factored form of y2 + 6y − 16?
A (y − 4)(y − 4)
B (y − 8)(y + 2)
C (y + 8)(y − 2)
D (y + 4)(y − 4)
What is
C (y + 8)(y − 2)
Choose the list that includes ALL the common factors of 36 and 24.
A 2, 3, 4, 6, 9, 12, 18
B 1, 2, 3, 4, 6, 12
C 1, 2, 3, 4, 5, 8, 9, 12, 18, 36
D 1, 2, 3, 4, 6, 8, 12, 24
What is
B 1, 2, 3, 4, 6, 12
Simplify
(3x3 + 7x − 1) + (4x3 − 9x2 − 11x).
What is
7x3 - 9x2 - 4x -1
The product of −7y2(−2y4 + y2 − 1) is
A. 14y8 − 7y4 − 7y
B. 14y6 − 7y4 + 7y2
C. −14y6 + 7y4 − 7y2
D. −9y6 − 6y4 − 8y2
What is
B. 14y6 − 7y4 + 7y2
Factor out the GCF from the terms of the polynomial
12x4 − 16x3 + 8x2 − 28x
What is
4x(3x3 - 4x2 + 2x -7)
What is the factored form of x2 + 4xy − 21y2?
A xy(x + 4 − 21y)
B (x − 3y)(x + 7y)
C x(x + 4y) + y(4x − 21y)
D (x + 3y)(x − 7y)
What is
B (x − 3y)(x + 7y)
Evaluate the expression for
y = 2
3y2 − 7y + y3
What is
6
Simplify (−5x + 7) − (x2 − 3x + 2).
A. −6x2 + 3x + 9
B. −6x2 + 3x + 5
C. −x2 + 2x + 5
D. −x2 − 8x + 5
What is
C. −x2 + 2x + 5
Show the quotient of
56x6 - 14x4 - 42x3 divided by 7x2
What is
8x4 - 2x2 - 6x
Factor out the GCF from the terms of the polynomial
−15y4 + 12y2 − 9y
What is
-3y(5y3 - 4y + 3)
Simply and factor
x2 − 17x + 52
What is
(x - 13) (x - 4)
Maria is renting kayaks from a local shop that charges a $7 fee, plus an hourly rate of $5.50. For how long can Maria rent the kayak if she pays a total of $40?
A 5 hours
B 6 hours
C 7 hours
D 8 hours
What is
B 6 hours