Factoring Simple Trinomials
Factor: x2+8x+12
(x+6)(x+2)
Factor: 2x2+7x+3
(2x+1)(x+3)
Solve by Factoring:
4n2 + 40n +64
x = -8, x = -2
When converting from standard form to vertex form, I need to find two numbers that:
Add to B and Multiple to AC
What is the quadratic equation in vertex form?
y = a ( x − h )2 + k /7
Factor: m2-11m+18
(m-9)(m-2)
Factor: 5n2+26n+5
(5n+1)(n+5)
Solve by Factoring:
3x2 - 20x + 32 = 0
x = 4, x = 8/3
Add to 1, Multiple to -20
-4 & 5
What is the quadratic equation in standard form?
ax2 + bx + c
Factor: x2+5x-24
(x+8)(x-3)
Factor: 3x2-10x+7
(3x-7)(x-1)
Solve by Factoring:
x2 - 81 = 0
x = 9, x = -9
Add to -13, Multiple to 42
-7 & -6
What is the quadratic equation in factored form?
a(x-r)(x-s)
Factor: y2-6y-7
(y-7)(y+1)
Factor: 7x2-36x+5
(7x-1)(x-5)
Solve by Factoring:
10x2 - 26x + 12x = 0
x = 3/5, x = 2
Add to b and multiply to ac in the following equation:
3x2 + 14x + 15 = 0
5 & 9
f(x) = -4(x + 3)2 + 7
Reflected on the X axis
Stretched by a factor of 4
Left by 3, Up by 7
Factor: x2-x-56
(x-8)(x+7)
Factor: 2x2 +5x-3
(2x-1)(x+3)
Solve by Factoring:
4x2 - 400 = 0
x = 10, x = -10
Add to b and multiply to ac in the following equation:
38x + 8x2 + 9
2 & 36
The graph has a vertex of (-2, 0) and has a y-intercept of 11.
f(x) = 2.75 (x+2)2