8-1
What is Standard Form order?
Left to right in descending order (degrees)
What is Factoring?
Reverse distribution
What does F.O.I.L stand for?
Firsts. Outers. Inners. Lasts
What is the formula for squaring binomials?
(a+b)2=a2+2ab+b2
(a-b)2=a2-2ab+b2
How can you check your factoring?
By redistributing
2nd
Multiply the monomial and the polynomial
2x2(2x+3)
4x4+6x3
Simplify the product
(x+8)(x+7)
x2+15x+56
(n-7)2
n2-14n+49
Factor the expression
x2+9x+20
(x+5)(x+4)
What would 5x3+11x-1 be classified as?
Cubic Trinomial
Factor 3a-6
3(a-2)
(3y+3)3y2+2y−5
9y3+15y2-9y-15
(4x−9)(4x+9)
16x2-81
Factor the trinomial completely.
x2+2x−15
(x+5)(x-3)
Write the polynomial in standard form
6z4-4z-9z2
6z4-9z2-4z
Find the product
-y5(8y2+7y-5)
-8y7-7y6+5y5
(3x+2)(3x2+5x-1)
9x3+21x2+7x-2
501 • 499
249999
Factor the trinomial.
t2+9tg+20g2
(t+5g)(t+4g)
Add the polynomials
(5x2-9x+4)+(7x3-5x)
7x3+5x2-14x+4
Factor 12x2-28x
4x(3x-7)
The radius of a cylindrical gift box is (4x+1) inches. The height of the gift box is three times the radius.
What is the surface area of the cylinder? Write your answer as a polynomial in standard form
128πx2+64πx+8π
A square yellow rug has a purple square in the center. The side length of the purple square is x inches. The width of the yellow band that surrounds the purple square is 12 in. What is the area of the yellow band?
48x+576 in2
The area of a rectangular rug is given by the trinomial r2−4r−77. What are the possible dimensions of the rug? Use factoring.
r-11,r+7