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100
x^2+9xy+14y^2
(x + 7y)(x + 2y)
100
3x^3-2x+4+4x^3+x^2-6x-5
7x^3+x^2-8x-1
100
Factor
x^2+3x-10
Factors of -10 that add to 3
(x + 5)(x - 2)
100
What movies made Macaulay Culkin famous?
Home Alone
100
No matter what polynomial we're given, what should we always start by checking first when factoring?
Is there a GCF to factor out of each term
200
Factor the perfect square trinomial
4x^2-36x+81
(2x - 9)(2x - 9) or even better as
(2x-9)^2
200
(4x^2-3x+5)-(9x^2+4x-7)
The subtraction sign "distributes" through the 2nd parenthesis, then combine like terms-
4x^2-3x+5-9x^2-4x+7
-5x^2-7x+12
200
Factor
12x^4y+20xy
4xy(3x^3+5)
200
Which NBA team had the best record and is now the #1 seed in the Western Conference?
OKC Thunder
200
Solve.
4x^2=8x
Subtract 8x on both sides to force a zero.
4x^2-8x=0
Factor GCF of 4x
4x(x-2)=0
Thus, 4x = 0 or x - 2 = 0
x = 0 or x = 2
300
9x^2-64
Difference of 2 squares-
(3x + 8)(3x - 8)
300
-7y^2(-2y^4+y^2-1)
14y^6-7y^4+7y^2
300
x^2-11x+18
(x - 9)(x - 2)
300
What school campus was used for the filming of the horror film "Last of the Grads"?
Seacrest Country Day School
300
Solve
x(x-3)=18
Need to get a zero on the right and also distribute
x^2-3x-18=0
Factor
(x+3)(x-6)=0
x = -3 or 6
400
Factor
16x^2-40x+25
This is a perfect square trinomial. 2(-5)(4x) = -40x
(4x - 5)(4x -5)
(4x-5)^2
400
(2y-6)^2
(2y-6)(2y-6)
4y^2-24y+36
400
y^2-y-56
(y + 7)(y - 8)
400
During WWII, the Axis powers comprised Germany, Japan, and what third country?
Italy
400
A rectangular pool has a length twice its width w, in feet. The pool deck is 5 feet wide all along its perimeter. What is an expression for the area of the pool and pool deck in terms of w? Simplify and put in standard form.
Pool & pool deck length: 2w + 5 + 5
Pool & pool deck width: w + 5 + 5
Area = (2w + 10)(w + 10) =
2w^2+30w+100
500
Factor
6y^2+7y+2
ac = 12..find factors that add to 7 (3 & 4)
6y^2+3y+4y+2
3y(2y+1)+2(2y+1)
(2y+1)(3y+2)
500
(2x-3)(3x^2-4x+5)
Double distribute... multiply all 3 terms in the 2nd parenthesis by 2x, then multiply all 3 terms again by -3. Then combine any like terms.
6x^3-8x^2+10x-9x^2+12x-15
6x^3-17x^2+22x-15
500
Factor COMPLETELY.
5x^4-20x^3-60x^2
Factor out the GCF first. Then factor the trinomial that remains-
5x^2(x^2-4x-12)
5x^2(x+2)(x-6)
500
Name this 90s sitcom designed for teens/tweens
Saved By the Bell
500
Finding the height of a missile launched from the ground with an initial velocity of 128 ft/sec after t seconds can be modeled with the equation below. Calculate when the missile will hit its target on the ground.
h(t)=-16t^2+128t
0=-16t^2+128t
0=-16t(t-8)
t-8=0
t=8