Factoring trinomials
Factor into two binomials: x2 + 8x + 12
(x+6)(x+2)
Factor into two binomials: 2x2+7x+3
(2x+1)(x+3)
What is the first step when you are completing the square? Hint: It has to do with the constant!
Push the constant aside and have it wait till we complete the square.
Factor by GCF: 14n2 + 10n
2n(7n+5)
Solve for x: 3x-7=11
x=6
Factor into two binomials: m2 - 11m + 18
(m-9)(m-2)
Factor into two binomials: 5n2+26n+5
(5n+1)(n+5)
What do we do to the middle term to find the number that completes the square?
Cut it in half and square it.
Factor by GCF: 18x3-6x
6x(3x2-1)
2x+8=5x-7
x=5
Factor into two binomials: x2 + 5x - 24
(x+8)(x-3)
Factor into two binomials: 3x2-10x+7
(3x-7)(x-1)
Once we find the number that completes the square, what do we do with it?
Add it on and subtract it.
Factor by GCF: 8 - 4a2
4(2-a2)
Solve the system of equations by using substitution. 3y+2x=32, x=7
y=6
Factor into two binomials: y2 - 6y - 7
(y-7)(y+1)
Factor into two binomials: 7x2-36x+5
(7x-1)(x-5)
It the trinomial has a leading coefficient other than 1, what must we do before we start completing the square?
Factor it out.
Factor by GCF: 4x4 + 16x3 - 8x2
4x2(x2+4x-2)
What is the slope and y-intercept of the following line? y=5x-2
Slope=5 Y-Intercept=-2
Factor into two binomials: x2 - x - 56
(x-8)(x+7)
Factor completely: 2x2 - 12x + 10
2(x-1)(x-5)
Complete the Square:
x2 - 10x - 8
(x -5)2 - 33
Factor by GCF: 10a3b4 - 6a2b6
2a2b4(5a-3b2)
Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16
x=5, y=-1