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100
Factor the difference of two squares
x^2-9
(x+3)(x-3)
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 the GCF
12x^4y+20xy
4xy(3x^3+5)
200
The first pick of last week's NFL draft is third cousins with which Seacrest teacher?
Mr. Mendoza
200
Solve.
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^2-3x-18=0
Factor
(x+3)(x-6)=0
Thus, x+3=0 or x-6=0
So,
x = -3 or 6
400
x^2+9xy+14y^2
(x + 7y)(x + 2y)
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
"length"*"width"="area"
(x+2)(x-3)=36
FOIL, then subtract 36 to get a zero
x^2-x-6-36=0
x^2-x-42=0
Factor: (x+6)(x-7)=0
Thus, x+6=0 or x-7=0
So, x = -6 or 7
But it can't be -6 because the dimension of the rectangle cannot be negative, thus x = 7.
And the dimensions of the rectangle will be 9 & 4.
500
Factor
6y^2+7y+2
Since there is a 6 on the y squared, we have to guess and check. There are 4 possibilitys-
(6y + 2)(y + 1)
(6y + 1)(y + 2)
(3y + 2)(2y + 1)
(3y + 1)(2y + 2)
We now need to identify the only one that would produce a 7y in the middle when multiply/FOILing.
Only (3y + 2)(2y + 1) would
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. (there will not be one like this on the test)
h(t)=-16t^2+128t
0=-16t^2+128t
0=-16t(t-8)
t-8=0
t=8