Multiply and Distribute
(x + 4)(x – 3)
x2 +x -12
Factor the polynomial.
9x + 45=
9 (x+ 5)
Factor:
16x2 + 40x + 25
(4x + 5)2
Complete the square and turn into graphing form:
a2 − 2a − 15 = 0
y=(a-1)2 -16
What is the y intercept and vertex of this equation:
y=(x-4)2 +7
y-int: (0,23)
Vertex: (4,7)
(x+5)(x+7)
x2 + 12x +35
Factor the polynomial.
7x2 - 21x=
7x (x-3)
Factor:
36x2 - 132x + 121
(6x - 11)2
Complete the square and turn into graphing form:
p2 + 16p +60 = 0
y=(p+8)2-4
What is the y intercept and vertex of this equation:
y-8=(x-2)2
y-int: (0,12)
Vertex: (2,8)
(x + 2) (x + 1)
x2 + 3x + 2
Factoring the difference of squares.
9x2 - 18x +9=
(3x - 3)2
Factor:
x2 + 6x + 9
(x + 3)2
Complete the square and turn into graphing form:
x2 + 12x = -23
y=(x+6)2-13
What is the y intercept and vertex of this equation:
y+4=(x+9)2-7
y-intercept: (0,70)
vertex: (-9, -11)
(x2-2)(x+2)
x3+2x2-2x-4
Factor.
25n2 - 100n +100
(5n - 10)2
Factoring polynomials of the form x2 + bx + c.
x2 -6x + 9
(x - 3)2
Complete the square and turn to graphing form:
x2 - 15x = -51
y=(x-7.5)2-5.25
What is the y intercept and vertex of this equation:
2y=2(x-8)2+14
y-intercept: (0,71)
vertex:(8, 7)
(x2-3x+2)(x3-2x2+4x-5)
x5-5x4+12x3-21x2+23x-10
Factor:
5a2x3t5+ 15a3xt8
5a2xt5 (1x2 + 3at3)
Factor:
16x2+ ? + 81
? = 72x
Complete the square, find the y-intercept AND the vertex:
x2 + 10x + 22
y=(x + 5)2-3
y-intercept: (0,22)
Vertex: (-5, -3)
Turn this to graphing form and then find the y intercept and vertex of this equation:
x2-4x+7=0
y=(x-2)2+3
y-intercept: (0,7)
Vertex: (2,3)