The 7 in 3x2 - 8x + 7
What is a constant?
(3x+5) + (4x+1)
7x + 6
x2 + 12x + 20
(x + 10) (x + 2)
9x(x+3)
9x2 + 27x
These numbers are typically superscripts of variables
What are exponents?
3x + 8
What is a binomial?
(6x-7) - (14x+5)
-8x -12
x2 - 81
(x - 9) (x + 9)
(x-7)(x+2)
x2-5x-14
The general case of (x + y)(x + y)
x2+2xy+y2
In the polynomial 4x2 + 5x + 6,
the 4 and 5 are...
What are coefficients?
(5x2-4x+7) - (8x2 -2x-2)
-3x2 -2x +9
6x2-x-35
(3x+7)(2x-5)
(2x+4)(x-8)
2x2-12x-32
The GCF of 64x2y5+32x3y3+88xy4
8xy3(8xy2+4x2+11y)
We get this type of polynomial when we multiply (x+6)(x-8).
What is a trinomial?
(5x3+4x+7-x2) - (2x-6x2+x4)
-x4+5x3+5x2+2x+7
3x2-18x+27
3(x-3)(x-3)
(3x-4)2
9x2 - 24x+16
(a+3)2-(6x+9)
a2
This type of polynomial is the result of the following product: (x+2)(x-2)
What is a difference of squares?
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
4x3 + x2 – 3x + 1
12x2 + 17x + 6
(4x+3)(3x+2)
DAILY DOUBLE (2x3+3)(3x2 − 4x + 7)
6x5 − 8x4 + 14x3 + 9x2 − 12x + 21
Simplify and multiply (Remember order of operations):
(7x3 +8x2-10x3+9x+3x3-3x-6x2)(x+1)
2x3+8x2+6x