Adding/Subtracting Polynomials
Add the following polynomials
x4+4x4
5x4
Multiply the following polynomials
w2(w2+3)
w4+3w2
Factor the polynomial using a GCF
15g3-5g
5g(3g2-1)
The degree of this polynomial:
x3-7x2+4x5-19x7
degree 7
(x-2)(x+1)=0
Subtract the following polynomials
7x4-2x4
5x4
Multiply the following polynomials
r2(7r3-3r+9)
7r5-3r3+9r2
Factor the polynomial by a GCF
3g5+9g3-18g2
3g2(g3+3g-6)
Classify this polynomial:
2x2+3x-7
Trinomial
Solve for x.
x(x+2)=0
x=0 and x=-2
Add the following polynomials (must be 100% correct!)
(3x3+x2+9)+(x3-3x2+1)
4x3-2x2+10
Multiply the following polynomials and simplify completely.
(9m-3)(2m+3)
18m2+19m-9
Factor the polynomial using the difference of squares
16x2-4
(4x-2)(4x+2)
Classify: a+3
binomial
A Square has a length of (2x+1). Write an expression for its Area (must be simplified!)
4x2+4x+1
Subtract the following polynomials (must be 100% correct)
(5a3 - 2a2) - (4a3+3a2)
a3 - 5a2
Multiply the following polynomials
(3r+5)2
9r2+30r+25
Factor the polynomial
x2+5x-14
(x-2)(x+7)
True or False
Polynomials can have constants, variables and exponents
true
A Triangle has a perimeter of 12x+5y. One side has a length of 3x+4y and the other side has a length of 5x-y. Find the length of the 3rd side.
4x+2y
Add the following polynomials
(2k3-7k)+(-5k3-k2-3k)
-2k3-k2-10k
Multiply the following polynomials
(t2+4)(t3+6t-3)
t5+10t3-3t2+24t-12
Factor the polynomial completely. HINT: Factor out a GCF FIRST!
2x2+12x+10
2(x+1)(x+5)
When in standard form, the leading coefficient of this polynomial is...
6x3-3x+12x5+x4
12
A rectangle has a total area of 36 square inches. If the length is represented by a and the width is represented by a-5. Find the length and width of the rectangle. **must have both!
length= 9 inches (or 4 inches)
width= 4inches (or 9 inches)