Polynominals Examples And Worksheets (Lessons 7-5. 7-7, 7-8, 7-9. 12-6) Packet 8 (Page 3 of 13) in pdf

Polynominals Examples And Worksheets (Lessons 7-5. 7-7, 7-8, 7-9. 12-6) Packet 8 Page 3

Name

Date

Period

SPI: 3102.3.2: Operate

with

polynomials

and

simplify results.

(Polynomials

p.2)

monomial

is a number, a variable, or a product of numbers and variables with whole-number exponents.

polynomial

is a monomial or a sum or difference of monomials.

The degree of the monomial is the sum of the exponents in the monomial.

The degree of the polynomial is the degree of the term with the greatest degree

Find the degree ot

Lif

+ 9x5.

of 4ab

9a3.

Find the degree of

8x2f

\x'yu

The exponents are 2 and

The degree of the monomial

is2+3=5.

Find the degree

ol4aGb.

4aa

The exponents are 6 and

The degree of the monomial

is6+1=7,

Degree of the

polynomial is

2xav3 +

9xs

Find the degree

laP

€-

Degree of the

polynomial is

5x +6x3

t--\,J

130

The

standard form of

polynomial

is written with the

terms

in order from the greatest degree to

the least

degree. The coefficient of the first term is the

leading coefficient.

Write

5x + 6x3 + 4 + 2xa in

standard form.

Find the degree of each term.

Zxa

+ 6xo + 5x +

Write the terms in order of degree.

The leading coefficient

Example

Classify

7xa + 5x + 3

according to its degree and number of terms.

7xa

+ 5x+

3 is a quartic trinomial.

Polynomials can be evaluated.

Example

ball

thrown straight up in the air from

a height of 4 feet

at a speed of 65 feet per second. The height of the ball in feet

is given by -16t2

65t+

where f is the time in seconds. How

high is the ball after

seconds?

Evaluatefort=2.

-16t2 +

65t+4

_16e)2+65(2)*a

-16(4)+65(2)+4

*64+

134+4

After 2 seconds,

the ball is 70 feet

high.

Polynominals Examples And Worksheets (Lessons 7-5. 7-7, 7-8, 7-9. 12-6) Packet 8 Page 3

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