Polynomial?
x3 + 2x2 - 3x + 5
Polynomial or Not?
Polynomial
h(x) = -3x+ 5x4 + 6x3 - 5 +2x2
5
P(x) =x2 + 7x - 30, express in factored form
P(x)=(x+10) (x- 3)
P(x) = x - 2
Linear
(x+2) (x+5) = 0
{-2, -5}
f(x) = 2x2 - 5x + 5, solve for f(-2)
23
g(x) = -x5 - 4x2 + 5x3 - 2x - 7, what is the leading coefficient?
-1
P(x) = 2x2 -3x -2, express in factored form
P(x) = (x - 2) (2x+1)
f(x) = 8
Zero degree polynomial
x(x-3)(x+2) = 0
{0, 3, -2}
P(0) = -(x+2)4
-16
f(x) = 2x5 - 3x4 + 4x3 - 7x - 5, what is the constant term?
-5
f(x) = x3 - 6x2 + 8x, give the factored form.
f(x) = x(x-4)(x-2)
g(x) = (2x - 7)3
Cubic or 3rd - degree polynomial
P(x) = x2 - 6x +9
{3, multiplicity 2}
P(1/2) = x2 + 5x - 4
-5/4
h(x) = 2x (2x-3) (4x- 7), what is the constant term?
0
h(x) =4x2 - 1, give the factored form
h(x) = (2x+1) (2x - 1)
h(x) = (x-7)3 (2x+2)2
Quintic or fifth-degree polynomial
f(x) = x2 - x - 12
{-3, 4}
g(x) = (x+2)(x-3)(x+4)
Solve for g(0)
-24
P(x) = (2x - 3)3, what is the leading coefficient?
8
g(x) = 25x2 -70x + 49
g(x) = (5x - 7)2 or (5x-7)(5x-7)
f(x) =x(x-3)3
Quartic or fourth-degree polynomial
P(x) = x3 - x
{-1, 0, 1}