Writing Polynomial Functions Given Zeros and Graphs, Schemes and Mind Maps of Linear Algebra

Ex 2 Each list shows points on a graph of a polynomial function. Circle all the zeros / x-intercepts. Write all factors you can determine based on the given ...

Typology: Schemes and Mind Maps

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5.7, 5.9 Writing Polynomial Functions, Day 2
Writing Polynomial Functions Given Zeros and Graphs
Ex 1 Find all the following information. Write the equation of the given polynomial:
Intercept form and finding a:
Rewriting in standard form:
Ex 2 Each list shows points on a graph of a polynomial function. Circle all the zeros / x-intercepts.
Write all factors you can determine based on the given zeros. Remember that any “nonzero” point on
the graph may be used for finding the leading coefficient
(1, 2), (2,0), (5,0)
(-2,0), (0,3), (1, 0), (3,0)
(-5,0), (-2,0), (0,0), (2,1)
Least degree:
Leading coefficient: +
/ -
Zeros:
Y intercept or any
ordered pair besides
zero:
pf3

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5.7, 5.9 Writing Polynomial Functions, Day 2

Writing Polynomial Functions Given Zeros and Graphs

Ex 1 Find all the following information. Write the equation of the given polynomial:

Intercept form and finding a: Rewriting in standard form:

Ex 2 Each list shows points on a graph of a polynomial function. Circle all the zeros / x-intercepts.

Write all factors you can determine based on the given zeros. Remember that any “nonzero” point on

the graph may be used for finding the leading coefficient

(1, 2), (2,0), (5,0) (-2,0), (0,3), (1, 0), (3,0) (-5,0), (-2,0), (0,0), (2,1)

Least degree: Leading coefficient: + / -

Zeros: Y intercept or any ordered pair besides zero:

Ex 3 Find all the following information. Write the equation of the given polynomial:

Intercept form and finding a: Rewriting in standard form:

Ex 4 Write the equation of the polynomial given following information:

Leading coefficient is 1, and -4 and are zeros.

Double roots 1 and -2 and passes through (3, - 20).

Least degree: Leading coefficient: + / -

Zeros: Y intercept or any ordered pair besides zero: