Basics of Polynomial Functions
Rewrite the polynomial f(x)=8x2+10x7-7x3-x4 so it is in standard form
What is f(x)=10x7-x4-7x3+8x2?
State the end behavior of the graph of
f(x)=-x5+2x4+3x3+2x2-8x+9
What is "rises to the left and falls to the right?"
Add (2x3+3x2+4)+(6x3-x2-5x)
What is 8x3+2x2-5x+4
Multiply -4xy(5x2-9xy-y2)
What is -20x3y+36x2y2+4xy3
Use identities to multiply (9x+3y3)2
What is 81x2+54xy3+9y6?
State the degree of the polynomial
f(x)=9x4+7x3-8x2-7
What is 4th degree?
State the end behavior of the graph of
f(x)=-(x+2)(x-1)(x-4)(x-8)
What is "falling to the left and right?"
Subtract (5y4+3y3-6y2+14)-(-y4+y2-7y-1)
What is 6y4+3y3-7y2+7y+15?
Multiply (x2+5)(x2-4)
What is x4+x2-20?
Use identities to multiply (x+9)(x-9)
What is x2-81?
State the lead coefficient of the polynomial
f(x)=7x5-5x3+9
What is 7?
The maximum number of x-intercepts a cubic polynomial can have.
What is 3?
Subtract (4p2q2+2p2q-7pq)-(9p2q2+5pq2-11pq)-5
What is -5p2q2+2p2q-5pq2+4pq?
Multiply (3c-4)(2c2-5c+7)
What is 6c3-23c2+41c-28?
Use identities to factor x3-27y3
What is (x-3)(x2+3x+9)?
The number of terms of the polynomial f(x)=3x2
What is one?
State whether the graph of f(x)=-3x2+2x-1 has a relative maximum or a relative minimum.
What is relative maximum?
Add (2x6-4x3+x2-7)+(-2x6+4x3-0.5x2+7)
What is 0.5x2?
Multiply (z+5)(z-9)(1-z)
What is -z3+5z2+41z-45?
Expand (x+3)3
What is x3+9x2+27x+27?
Express the polynomial f(x)=-x3+9x+12-x4+5x2 in standard form.
What is f(x)=-x4-x3+5x2+9x+12?
State the x-intercepts of the polynomial
f(x)=(x+7)(x+5)(x-2)(x-3)
What are x=-7, x=-5, x=2, and x=3?
Subtract (4x3+6x2-3x-18)-(4x3-6x2-12x-9.5)
What is 12x2+9x-8.5?
Multiply (-2b+4)(5b2-4b+2)
-10b3+28b2-20b+8
Expand (m+n)5
m5+5m4n+10m3n2+10m2n3+5mn4+n5