Algebra 1 : 7.1-7.3

Degree & Leading Coefficient

Standard Form & Classify the polynomial

Addition

Subtraction

Multiplication

100

What is the degree and leading coefficient of the following polynomial:

x²+x

The Degree is 2

Leading Coefficient is 1

100

Write the following polynomial in standard form & Classify the polynomial. (monomial, binomial, trinomial, polynomial)

x² +15x³ +20x + 5

Standard form:
15x³ + x² +20x + 5

Polynomial

100

(x²+3x)+ (2x+1)

answer must be in standard form.

x²+5x+1

100

(3x+5) - (x+1)
answer must be in standard form.

(2x-4)

100

Multiply the given Expression:
(y-7) ( y-3)

answer must be in standard form.

y²-10y+21

200

What is the degree and leading coefficient of the following polynomial:

x² +15x³ +20x + 5

Degree: 3
Leading: 15

200

Write the following polynomial in standard form & Classify the polynomial. (monomial, binomial, trinomial, polynomial)

x²+x

x²+x

Binomial

200

Evaluate:
(-3x² -4x + 3 ) + (6x² + 3)

answer must be in standard form.

3x² - 4x +6

200

(5x²+4x+3) - (2x²-6x-2)

answer must be in standard form.

3x²+10x+5

200

(2x+6)(2x-6)

answer must be in standard form.

_4x²-36

300

What is the degree and leading coefficient of the following polynomial:
x² +2x³ + 12x⁴ + x¹⁰ + 10

Degree: 10

leading: 1

300

Write the following polynomial in standard form & Classify the polynomial. (monomial, binomial, trinomial, polynomial)

2x³ + 12x⁴ + x¹⁰

x¹⁰+12x⁴ +2x³

Trinomial

300

(4x³+2x+5x²) + (x³+5+4x)

Answer must be in standard form

5x³+5x²+6x+5

300

Subtract:
answer must be in standard form.

(3x²+2x-5) - (-7x+4x²+8)

-x²+9x-13

300

What is equivalent to the given expression?

(2x-5)²

^{answer must be in standard form.}

4x²-20x+25

400

What is the degree and leading coefficient of the following polynomial:
x² +9x³ + 7x⁴ + 10x + 30

Degree: 4
Leading Coefficient: 7

400

Write the following polynomial in standard form & Classify the polynomial. (monomial, binomial, trinomial, polynomial)

x² +9x³ + 7x⁴ + 10x + 30

7x⁴ +9x³ + + x² + 10x + 30

Polynomial

400

(3x²+x-6) + (8x²+5+9x)

Must answer in standard form.

11x²+10x-1

400

Evaluate:

(-x+2) - (2x²+8x-2)

-2x²-9x+4

400

Evaluate:

(x-8)²

^{answer must be in standard form.}

x²-16x+64

500

What is the degree and leading coefficient?
27a³b²c

Stuck? Check your 7.1 notes

Degree: 6

Leading Co: 27

500

Write the following polynomial in standard form & Classify the polynomial. (monomial, binomial, trinomial, polynomial)

27a³b²c

27a³b²c

Monomial

500

(5x³+4x⁴+3x) + (2x⁴+8x³+10+2x²)

Answer must be in standard form

6x⁴+13x³+2x²+3x+10

500

(12x²+5x-7) - (-4x²+2x-1)

answer must be in standard form.

16x²+3x-6

500

Multiply the given expression:

(x+3) (2x²+8x-2)

answer must be in standard form.

2x³+14x²+22x-6