Naming Polynomials
Write the following polynomial in standard form and name it:
3x2 - 7x4 + 9 - x4
What is:
-8x4+3x2+9
Quartic Trinomial
What is:
touch or cross the x-axis
Sketch a graph of the following polynomial with the solutions clearly identified:
y = -7x6 +7x3
Negative Even graph with solutions marked at X=0, x=1
Write the following polynomial in standard form and name it:
5x2 - 9x5 + 8x3 - 11
What is:
-9x5+8x3+5x2 - 11
Quintic Polynomial with four terms
What are the solutions to the following polynomial:
y = 2x4 + 3x - 5
x = -1.473
x = 1
Sketch a graph of the following polynomial with the solutions clearly identified:
f(x) = -x7 - 1
Negative Odd graph with solution marked at X=-1
Write the following polynomial in standard form and name it:
5x3 - 6x3 + 8x2 - 10 + x - 8x2 - x
What is:
-x3 - 10
Cubic Binomial
What are the solutions to the following polynomial:
f(x) = 4x3 + 3x2 + 2
X = -1.137
Sketch a graph of the following polynomial with the solutions clearly identified:
y = 2x3 - 5x2
Positive Odd graph with solutions at x=0 & x = 2.5
Write the following polynomial in standard form and name it:
(x + 4)(x - 3)
*hint use the box method*
What is:
-x2 + x - 12
Quadratic Trinomial
A negative cubic polynomial with six terms can have 0, 1, 2, or 3 solutions...true of false.
What is:
FALSE
*Any type of cubic polynomial always has at least ONE solution*
Sketch a graph of the following polynomial with the solutions clearly identified:
y = -10x5
Negative Odd graph with solution at x=0
Rank the following in order least to greatest:
linear, quintic, quadratic, constant, cubic, quartic
What is
constant, linear, quadratic, cubic, quartic, quintic
What are the solutions for the following polynomial:
3k2 - 18k - 21
(solve by factoring)
What are:
X = -1
X = 7
Create a polynomial with a graph that has exactly 4 solutions. Sketch a picture of the graph and write out the polynomial with its proper name included.
*answers may vary