Multiplying Polynomials
(x-3)(x+2)
x2-x-6
(xy3)(3x2y)
3x3y4
Express the following in simplified form.
5b2+3-4b+2b5-3b2-8+8b
2b5+2b2+4b-5
p-6
1/p6
Which real number property is being described?
a(b+c) = ab+bc
Distributive Property
Determine the product of a2-3a+4 and a-7
a3-10a2+25a-28
15c9d6/3c4d
5c5d5
What is the degree, leading coefficient, and constant term of the following expression:
7x-x2+3-3x
Degree = 2
Leading Coefficient = -1
Constant = 3
77-2
1/5,929
Which real number property is being described?
(u+v)+w=u+(v+w)
Associative Property
(x-6)2
x2-12x+36
(4xy)(2x5y2)/2x3y2
4x3y
If F=(3x2-4x+3) and G=(-x2+x-8), what is 2(F-G)
8x2-10x+22
If x=4, what is the value of 1/2x3-(1/2x+13)
17
Which real number property is being described?
p+q+r = r+p+q
Commutative Property
4(x-1)2-3(2-x)
4x2-5x-2
(-14x2y3)3
-2,744x6y9
A picture frame has a length of 2x-7 inches and a width of x2+2 inches. What is the perimeter if the picture frame?
2x2+4x-10 inches
4(z3-4)-(z2-5z+2)
4z3-z2+5z-6
Determine if the product of 4rad3 and 6rad16 is rational or irrational. Explain your answer.
166.2768775... The product is irrational because the value does not end and repeat.
A rectangular soccer field has a length of 4x2-9x ft and a width of x+1 ft. Determine the area of the soccer field in ft2.
A = 4x3-5x2-9x ft2
((6a4b2c3)(-3abc)/2a3bc2)* 1/3a5b8c6
-3a7b10c8
What is the value when half the sum of 3v2-4 and v2+8v+6 is subtracted from 7v2+9v-6?
5v2+5v-7
2q+7q2(5q+2)-4q2-3q
35q3+10q2-q
Original: (6x2+12x)+9=4(5x-7)
First Step: 6x2+(12x+9)=20x-28
Which two real number properties are being utilized in this first step?
Associative property and Distributive property.