Classifying
An expression with two terms is called:
A binomial
Multiply:
(x + 3)(x + 5)
x2 + 8x + 15
Factor:
x2 + 6x + 8
(x + 4)(x + 2)
Identify a and b (don’t factor): 9x2 - 25
a = 3x and b = 5
Which of the following is a sum of cubes?
1. x3 + 27
An expression with a degree of 3 is called...
A cubic expression
Multiply:
(x + 4)(2x – 7)
2x2 + x– 28
Factor:
2x2 + 11x + 12
(2x + 3)(x + 4)
Factor: 81x2 - 4
(9x - 2)(9x + 2)
Determine a & b:
8x3 - 1
a: 2x
b: 1
Which of the following is a quadratic monomial?:
2x2 + 4x – 3
4x2 – 1
-2x2
5x3
Option 3
Multiply the following binomials:
(x – 6)2
x2 – 12x + 36
Factor:
x2 + 8x – 9
(x + 9)(x - 1)
Factor: 16x2 - 121
(4x - 11)(4x + 11)
What special case is shown here:
2x2 + 20x+ 5
Perfect square trinomial
Classify the following polynomial:
4a – 5a2 + 6a3 – 5
Cubic polynomial
Multiply the following binomials:
(2x – 1)(2x + 1)
4x2 – 1
Factor:
3x2 – 17x + 10
(3x - 2)(x - 5)
If the factored form equation is (10x - 7)(10x + 7), what was the original equation?
100x2 - 49
Factor:
x3 + 8
(x + 2)(x2 - 2x + 4)
Write a quartic trinomial:
**Answers may vary, teacher will check**
Find the area of a fenced in area with length 2x + 3 feet and width 3x - 2 feet
6x2 + 5x – 6 square feet
Factor:
4x2 + 14x - 8
2(2x - 1)(x + 4)
Can I factor 25x2 - 24 as (5x - 12)(5x + 12)? Why or why not?
No because 24 is not a perfect square
Factor: 8x3 - 125
(2x - 5)(4x2 + 10x + 25)