Multiplying Binomials
(x-3)(x-5)
x2-8x+15
x4+4x3+8x2+8x+4
The 2 in x2
What is the Degree?
f(x)=x2-x-6, known factor: (x-2)
x-3
f(x)=x2+4x+3
(x+3)(x+1)
(2x+4)(x-9)
2x2-14x-36
(x2+4x+2)(x2-7x+3)
x4-3x3-23x2-2x+6
Another name for the "zeroes" of a graph
What is the X-Intercept?
f(x)=2x3+x2-6x-8, known factor: (x-2)
2x2+5x+4
f(x)=x2+2x-8
(x-2)(x+4)
(3x+1)(4x-7)
12x2-17x-7
(2x2+3x-4)(2x2+5x+2)
4x4+16x3+11x2-14x-8
The feature of a graph the constant represents
What is the Y-Intercept?
f(x)=2x3-5x2-8x+15, known factor: (x-3)
2x2+x-5
f(x)=x2-3x+2
(x-2)(x-1)
(3x2+2)(5x2+11)
15x4+43x2+22
(3x3+2x-8)(2x2+5x+3)
6x5+15x4+13x3-6x2-34x-24
The formal name of 2x2 in the polynomial f(x)=2x2+3x-4
Leading Coefficient
f(x)=8x3-10x2-x+3, known factor: (x-1)
8x2-2x-3
f(x)=x2-5x-14
(x-7)(x+2)
(-7x3+13)(4x-11)
-28x4+77x3+52x-143
(12x2+8x-16)(4x4+3x2+7x)
48x6+32x5-28x4+108x3+8x2-112x
As x gets more positive in both the positive and negative direction, y gets larger in the positive direction.
What is Even Degree End Behavior?
f(x)=6x2+7x-20, known factor: (2x+5)
3x-4
f(x)=x2+11x+27
(x+9)(x+3)