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Write a polynomial in standard form with degree 3.
a polynomial written with exponents from greatest to least - highest exponent is a 3
P(x)=6x^2+12-5x^5+4x
This polynomial in standard form.
What is
P(x)=-5x^5+6x^2+4x+12
?
f(x)=x^2(x+7)^2(x-6)^5(x+8)^9
If the polynomial below is a factor of the other polynomial what is the remainder?
x^2+x-2
(x^3-2x^2-5x+6)/(x-3)
ZERO
7x^5-3
The largest exponent seen in a polynomial in standard form.
What is the degree?
The end behavior of this polynomial.
f(x)=-6x^4+3x^2+8
f(x)=-6(x+3)^5(x-7)^2(x+4)^8
P(x)=x^3-x^2+3x-2
What is the root if we know x+6 is a factor?
What is x=-6?
The end behavior of this polynomial.
P(x)=1/2x^7+4x^5+3x-6
What is Down Up?
The roots of this polynomial, including their multiplicities.
P(x)=2x^5(x-1)^2(x+4)^3
0 multi. 5
1 mult. 2
-4 mult. 3
The quotient of these two polynomials, using synthetic division.
(3x^4+x^3-2x+3)/(x+1)
What is
3x^3-2x^2+2x-4 ,r.7
?
What is the extrema for the following polynomial?
(x^2+5x-3)
What is (-2.5, -9.25)?
How many turning points does a degree n polynomial have?
What n-1.
(6x^7-4x^4+6x)-(3x^7-9x^4+6x^2-3)
3x^7+5x^4-6x^2+6x+3
?Write the zeros, multiplicity and what happens at each zero on the graph.
P(x)=(x+4)^3(x-6)^2(x+1)
-4 multi. 3 - crosses
6 mult. 2 - bounces
-1 multi. 1 - crosses
The quotient of these polynomials, using synthetic division.
(x^3+6x^2+11x+8)/(x+1)
What is
x^2+5x+6, r.2
?
What is the range of the following polynomial?
x^4-4x^3+5x+3
What process allows us to say the remainder when P(x) is divided by (x-k) is P(k).
Synthetic Substitution
f(x)=5x+3x^4-7x^7+3
What is the degree of this polynomial?
h(x)=x(x+1)^2(x-5)(x+3)^3
Degree = 7
(x^3-64)/(x^2+4x+16)
x-4
?Name the decreasing intervals for:
x^4-4x^3+5x+3
.
(-infinity, -0.6) and (0.74, 2.85)