Polynomial Arithmetic
Multiply. Your answer should be a monomial in standard form.
(-3m5)(-2m4)
6m9
Expand. Your answer should be a polynomial in standard form.
(3a2 - 1)(-3a2 + 5)
-9a4 + 18a2 - 5
Express your answer in the form (a + bi).
(3 - 91i) + (67)
(70 + 91i)
A rectangle has an area of 6n4 + 20n3 + 14n2.
The width of the rectangle is equal to the greatest common monomial factor of 6n4, 20n3, and 14n2.
What is the length and width of the rectangle?
Width = 2n2
Length = 3n2 + 10n + 7
Factor the polynomial by its greatest common monomial factor.
6x3 + 8x2 - 4x
2x(3x2 + 4x - 2)
Subtract -7a2 + 3a - 9 from 5a2 - 6a - 4. Your answer should be a polynomial in standard form.
12a2 - 9a + 5
Expand and combine like terms.
(5 + 6b3)2
36b6 + 60b3 + 25
Find the solutions of the quadratic equation 4x2 + 10x + 13 = 0.
Choose 1 answer:
A. -5/8 + or - 3 root 3/8 i
B. 5/4 + or - 3 root 3/4 i
C. -5/4 + or - 3 root 3/4 i
D. -5/4 + or - 3 root 3/4
D
Factor completely:
64y6 - 48y3 + 9
(8y3 - 3)2
What is the width of the rectangle?
2y3
A rectangle has a height of 2x4 and a width of x2 + 8x + 15. Express the area of the entire rectangle. Your answer should be a polynomial in standard form.
2x6 + 16x5 + 30x4
Expand. Your answer should be a polynomial in standard form.
3h(-h2 + 2h - 1)
-3h3 + 6h2 - 3h
Your answer should be a complex number in the form a + bi.
(-2)(4 + 4i)
-8 - 8i
8x3 = (-2x)(A)
-4x2
Expand and combine like terms.
(4m5 - 5m6)(4m5 + 5m6)
16m10 - 25m12
Express the radical using the imaginary unit, i.
square root of -4
2i
Factor completely:
7x5 - 21x4 + 14x3
7x3(x -2)(x - 1)
Which polynomials are in standard form? Select all that apply:
A. 10 - n
B. 5n + 3n3 - 1
C. n + 4n2 - 7n3
D. None of the above.
D
Multiply and simplify the following complex numbers:
(-2 + 2i) (5 + 5i)
-20
Factor completely: 81p8 - 100
(9p4 + 10)(9p4 - 10)