Sums and Differences
(-2p+4)-(p2-6p+8)
-p2+4p-4
(x-3)(x-2)
x2-5x+6
x2+10x+16
(x+2)(x+8)
Solve (x-3)(x+2)=0
x= 3 and -2
Give the factored form:
a2+2ab+b2
(a+b)2
(4s4+2st+t)
+
(2s4-2st-4t)
6s4-3t
(2k5-2k4)/2k3
k2-k
x2+2x-15
(x + 5)(x - 3)
Solve (2k+4)(k-3)=0
k=-2 and 3
Using a pattern, create a trinomial equivalent to:
(3x+1)2
9x2+6x+1
Find the sum of the two polynomials
2x2+7x-4
6x2-3x+9
8x2+4x+5
Multiply
(3x-5)(x-3)
3x2-14x+15
x2-8x+12
(x-2)(x-6)
Factor, then solve
12t2-60t=0
12t(t-5)
t= 0 and 5
Give the complete formula for the difference of two squares pattern.
a2-b2=(a+b)(a-b)
(4x2+3)-(x2-5x+2)
3x2 + 5x + 1
(3p4-9p3-18p)/3p
p3-3p2-6
2x2+11x+12
(2x + 3)(x + 4)
Factor, then solve.
3x2+15x-42=0
3(x+7)(x-2)=0
x= -7 and 2
Name the special pattern, then factor:
x2-12x+36
Bonus: What the name of the product pattern?
Perfect Square Trinomial
(x-6)2
Bonus: Square of a Binomial
The equation x(x2-9)-4x(x-3)=0 can be written in an equivalent form as x(x - 3)(x - a) = 0.
What is the value of a?
x(x-3)(x-1)=0
a=1
Simplify
5 + 3(x + 2)(x - 2)
3x2 - 7
−4x2−8x+5.
−(2x−1)(2x+5)
Factor, then solve:
13=49−16t2
-(4t-6)(4t+6)
t=1.5 and -1.5
x2−40x+400
(x-20)2