Polynomial Classifications
What do you call a polynomial with 3 terms?
What is the degree of this monomial?
5x3y4
7
(6s + 5t) + (4t + 8s)
14s + 9t
7c(5 - 2c2 + c3)
35c - 14c3 + 7c4
What pattern do you follow for the product of a sum and a difference?
a2 - b2
How do you know if a polynomial is quadratic?
If its degree is 2
What is the degree of this polynomial?
6c3 + 2c2 - 147c - 98
3
(11m - 7n) - (2m + 6n)
9m - 13n
(4x+1)(6x-3)
24x2 - 6x - 3
(5r + 7)(5r - 7)
25r2 - 49
What type of polynomial is this?
3x2 - 5
Write this polynomial in standard form:
14p + 6p4 - 3p2 + 2
6p4 - 3p2 +14p + 2
(x2 - 3x) - (-2x2 + 5x)
3x2 - 8x
Find the area of a rectangle with length 5x and width (x+8)
Remember, Area = Length x Width
5x2+40x
How do you know if you are looking at a special product?
If both binomials have the same terms.
What are the "red flags" that indicate that an expression is NOT a polynomial?
A variable in the denominator of a fraction
A negative exponent
What is the leading coefficient of this polynomial?
4x + 12 + 2x3 - 3x2
2
(-8xy+3x2-5y) + (4x2-2y+6xy)
7x2 - 7y - 2xy
4t3u (2t2u2 - 10tu4 + 2)
8t5u3 - 40t4u5 + 8t3u
(x+7)2
x2 + 14x + 49
Which of these is not a polynomial?
15
2x+4
4y-2 - 3y + 1
4y-2 - 3y + 1
What is the degree of this polynomial?
6x4 + 5x2 - 24x3 + x - 3x7
7
6g2-4g+2g2-7g+g-3+5g-4
8g2-5g-7
(3m + 4)(2m2 - m + 4)
6m3 + 5m2 + 8m + 16
(y - 4)(y - 4)
y2 - 8y + 16