8-1
What is the degree of this monomial?
9c²c⁹
11
Factor.
2a-10
2(a-5)
Simplify the product.
(x+3)(x+8)
x²+11x+24
Find the product.
(x−1)²
x²-2x+1
Factor the expression.
x²+14x+45
(x+9)(x+5)
Find The degree of the given term
210,000
0
Factor out the greatest common factor.
6x²+21x
3x(2x+7)
Simplify the product using the distributive property.
(x−5)(x+7)
x²+2x-35
Multiply using the rule for the square of a binomial.
(x−2)²
x²-4x+4
Factor the expression.
n²−14n+40
(n-10)(n+4)
Write this polynomial in standard form and classify it.
4x-1+5x³+7
5x³+4x+6
Cubic Trinomial
Find the product.
6y³(3y²-3x+3)
18y⁵-18y⁴+18y³
Use FOIL to multiply.
(y+6)(y−7)
y²-1y-42
Simplify the product.
89²
7921
Factor the trinomial.
a²+7az+10z²
(a+2z)(a+5z)
Add The polynomials
(7x²-6x+5)+(8x³-6x)
8x³+7x²-12x+5
Factor the polynomial.
19x⁴y²+57x⁵y
19x⁴y(7+3x)
Find the product using FOIL.
(6a⁴+8)(4a⁴-9)
24a⁸-22a⁴-72
Simplify the product.
41•39
1599
he area of a rectangular rug is given by the trinomial r2−2r−35. What are the possible dimensions of the rug? Use factoring.
r−7,r+5.
Subtract
(3x⁴+5x³-6)-(7x²-3x+7)
3x⁴+5x³-7x²+3x-13
Factor out the greatest common factor.
25x⁴+10x³+20x
5x(5x³+2x²+4)
The radius of a cylindrical gift box is (3x+4) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.
54πx²+144xπ+96π
A square green rug has a orange square in the center. The side length of the orange square is x inches. The width of the green band that surrounds the orange square is 11 in. What is the area of the green band?
44x+484in²
Factor the trinomial.
t²−ty−72y²
(t+8y)(t-9y)