Adding or Subtracting Polynomials
Factoring Trinomials
Multiplying Binomials
FACTOR
Multiplying
a Trinomial
a Trinomial
Area
100
Simplify.
(3x+5) - (4x+1)
-x + 4
100
Factor.
x^2 + 12x + 20
(x+10)(x+2)
100
Simplify.
(x+2)(x+3)
x^2+5x+6
100
Factor.
12a + 4b
4(3a+b)
100
-(5x-8x^2+4)
8x^2-5x-4
100
A square has an area of 81 in2.
What is the side length?
9 inches
200
Simplify.
(6x-7) + (4x+5)
10x-2
200
Factor.
x^2 -9x + 14
(x - 7)(x - 2)
200
Simplify.
(x-7)(x+2)
x^2-5x-14
200
Factor.
9x^4 + 15x^2 + 21x^3
3x^2(3x^2+7x+5)
200
-3k(-4r+5k+6)
-15k^2-18k+12kr
200
A rectangle has an area of 27 in2.
What are the possible whole number side length?
1 in by 27 in
3 in by 9 in
300
Simplify.
(x^3-7) - (8x^3-2x)
-7x^3 + 2x - 7
300
Factor.
3x^2 + 30x - 6
3(x^2+10x-2)
300
Simplify.
(2x+4)(x-8)
2x^2-12x-32
300
Factor.
7m^4 -14m^2 + 49m^5
7m^2 (m^2 - 2 + 7m^3)
300
(x-4)(x^2-2x+5)
x^3-6x^2+13x-20
300
A rectangle has an area of 45 in2.
What are the possible whole number side length?
1 in by 45 in
3 in by 15 in
5 in by 9 in
400
Simplify.
(5x-3)+(4x+7)+(2x-6)
11x-2
400
Factor.
4x^2+12x-112
4(x-4)(x+7)
400
Simplify.
(x-4)^2
x^2-8x+16
400
Factor.
10xy^3 - 15x^2y^4 + 30y
5y(2xy^2 - 3x^2y^3 + 6)
400
(x+4)(x^2-2x+5)
x^3+2x^2-3x+20
400
A rectangle has a side length of (x+5) and an area of
x2+2x-15. What is the missing side length?
x-2
500
Simplify.
(6x^2-8x -16) - (6x^2+8x+ 16)
-16x - 32
500
Factor.
-2x^2-14x+16
-2(x+8)(x-1)
500
Simplify.
(7x - 13)(7x + 13)
49x^2-169
500
Factor.
12b^3c^4d^7 - 24bc^3d^4 + 48b^5c^8d^9
12bc^3d^4 (b^2cd^3 - 2 + 4b^4c^5d^5)
500
(x^2+7x-4)(2x^2-3x-1)
2x^4+11x^3-30x^2+5x+4
500
10x^3-28x^2+32x-32