8.1-8.4 Review

Add and Subtract

100

Simplify

(2x²+5x-7)+(3-4x²+6x)

-2x²+11x-4

200

Simplify

(8y-10+5y²)-(7-y³+12y)

y³+5y²-4y-17

300

Simplify

(6x³-4)+(-2x³+9)

4x³+5

400

Simplify

(3c³-c+11)-(c²+2c+8)

3c³-c²-3c+3

500

Write the polynomial in standard form

10x⁸+9x³-6x+12x²-8x⁹+1

-8x⁹+10x⁸+9x³+12x²-6x+1

Multiply by a Monomial

100

Simplify

5a²(-4a²+2a-7)

-20a⁴+10a³-35a²

200

Simplify

2p(-4p²+5p)-5(2p²+20)

-8p³-100

300

Solve for d

d(d+3)-d(d-4)=9d-16

d=8

400

Simplify

f(f²+2f+25)

f³+2f²+25f

500

Solve for w

w(4w+6)+2w=2(2w²+7w-3)

w=1

FOIL

100

What does FOIL stand for?

First Outer Inner Last

200

Simplify

(x+3)(x-4)

x²-x-12

300

Simplify

(6x+5)(2x²-3x-5)

12x³-8x²-45x-25

400

Simplify

(3b³-4b-7)(2b²-b-9)

6b⁵-3b⁴-35b³-10b²+43b+63

500

Simplify

(m+2)[(m²+3m-6)+(m²-2m+4)]

2m³+5m²-4

Special Products

100

Simplify

(3x+4y)²

9x²+24xy+16y²

200

Simplify

(a-2b)²

a²-4ab+4b²

300

Simplify

(2x²+3)(2x²-3)

4x⁴-9

400

Simplify

(6p-1)²

36p²-12p+1

500

Simplify

(a-1)(a+1)

a²-1

Identify

100

What is the degree of the polynomial and the leading coefficent?

4y²-5xy

Degree= 2

LC=4

200

Determine the degree and type of polynomial?

6x³+4x+x-3

trinomial with degree 3

300

A quadratic expression is an expression in one variable with a degree of ...

2

400

Is this a polynomial?

5x^-3+10x-4

No, there is a variable in the denominator.

500

Write this polynomial in standard form and identify the leading coefficient

10x³-4x+3x⁶-11x⁷+1

-11x⁷+3x⁶+10x³-4x+1

LC: -11