Polynomial Graphs: Examples and Explanations

High School
Algebra
Algebra I
Polynomial graphs

What is the end behavior of the graph of the polynomial function $f (x) = 3 x^{6} + 30 x^{5} + 75 x^{4}$ ?

Kinley Richmond 2023-02-21

The graph of a polynomial function of degree n has at most n-1 turning point?

ikalawangq00 2023-02-02

A quintic binomial is what kind of polynomial?
$x^{4} - 2 x^{3} - x^{2} + 7 x + 11$
$x^{2} + 4 x$ , $3 x^{5} + 2$
$5 x^{2} - 2 x + 1$

e3r2a1cakCh7 2022-12-03

Factor the polynomial completely.
$P (X) - = x^{6} + 16 x^{3} + 64$
Find all its zeros. state the multiplicity of each zero. (order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part,then smallest to largest imaginary part.)
x =-2 with multiplicity 2
$x = 1 - i \sqrt{3}$ with multiplicity 2
$x = 1 + i \sqrt{3}$ with multiplicity 2

tac62txC 2022-11-27

which polynomial correctly combines the like terms and expresses the given polynomial in standard form?
8mn5-2m6+5m2n4-m3n3+n6-4m6+9m2n4-mn5-4m3n3

nazismes2w7 2022-11-24

A polynomial P Is given.
$P (x) = x^{6} - 7 x^{3} - 8$
Px)= ?
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
x=?
(b) Factor P completely.
P(x)=?

angeline nguyen2022-10-18

n=3
4 and 2 i are zeros;
f(-1)=-75

f(x)=

Jaiden Delgado2022-09-26

A line passes through the points (0, –9) and (16, –8). What is its equation in slope-intercept form?

sohail 2022-08-23

Eva Patricia Rodríguez Escoto 2022-08-23

Abdullah Patterson2022-05-26

Find a polynomial f(x) of degree 5 that has the following zeros.
8,7,0,1,-5

Vikolers6 2021-12-17

How to find the intervals of increasing and decreasing using the first derivative given $y = - 2 x^{2} + 4 x + 3$ ?

widdonod1t 2021-12-11

How do you graph the function $f (x) = x$ ?

Terrie Lang 2021-12-11

Find the degree, type, leading coefficient, and constant term of h(x)=−6.

Suman Cole 2021-08-02

Graph the polynomial function. $f (x) = - x^{4} + 8 x$

CoormaBak9 2021-07-23

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 4. Roots of multiplicity 2 at $x = \frac{1}{2}$ and roots of multiplicity 1 at x = 6 and x = −2. y-intercept at (0,18)

BenoguigoliB 2021-07-17

Modeling: Draw models to represents $\frac{3}{4}$ and $2 \frac{3}{5}$

Algebra is never easy when you do not know how to calculate or how to apply various graphs of polynomial functions. These are used in the calculation of the determination of the objects and the engineering tasks. See some polynomial graphs examples with the graphic explanations as some of the answers will have word problems. When you have good explanations, your calculations will be more confident. It is better to look at several answers that will be different in length. If you compare things in the solutions, you will see how to approach polynomial graphs by working with various axes.

Algebra I