Classify
What is the degree of this polynomial?
7x3 + 4x2 - 3x - 1
Degree 3
*will also accept cubic
(3x2)(4x2 - 5x + 7)
12x4 - 15x3 + 21x2
(6t -3) + (4t + 5)
10t + 2
What is the greatest common factor of 24y2 and 54y
6y
Factor into two binomials:
x2 + 14x + 24
(x + 2)(x + 12)
How many terms does a binomial have?
Bonus: write an example of a binomial
2
(7x - 4)(8x +9)
56x2 + 31x - 36
(14m + 5) - (-2m + 1)
16m + 4
Factor 16m - 20m3
4m(4 - 5m2)
Factor into two binomials:
x2 + 6x - 27
(x + 9)(x - 3)
Why is this not a polynomial? Choose the best answer.
5y(12y3 + 9)
A. A variable is being divided
B. It isn't simplified
C. The teacher said so
D. It has y, not x
B. It isn't simplified
(3x + 2)(4x2 - 7x + 5)
12x3 - 13x2 + x + 10
(3x3 - 7x + 2) + (2x2 + x - 5)
3x3 + 2x2 - 6x - 3
Factor 15w3 - 9w2 + 21w
3w(5w2 - 3w + 7)
Factor into two binomials:
y2 - 36
BONUS: what is the special name we give to expressions like this?
(y + 6)(y - 6)
BONUS: difference of squares
Classify this polynomial:
n4 + 3 + n
Trinomial degree 4 (or quartic trinomial)
18x4 - 33x3 - 22x2 - 20x
(-4x2 + 9x) + (-x - 3) - (8x2 + 4x - 7)
-12x2 + 4x + 4
Factor 10k3x2 + 6k3x + 16k2x
2k2x(5kx + 3k + 8)
Factor into two binomials:
k2 - 7k -18
(k + 2)(k - 9)
What is the leading coefficient in this expression?
6x2 + 7x3 + 9x
7
(x + y)(x + z)
x2 + zx + yx + yz
(x4 - 8x + 3) - (x4 - 7x + 3)
Simplify your answer
x
Factor (-8a3b4 - 32ab2)
-8ab2(a2b2 + 4)
Factor into two binomials:
5x2 + 16x + 3
(x+3)(5x+1)