Intro to Polynomials

Classifying

100

Write the name of the polynomial:

y=x+3

Linear binomial

200

Write the name of the polynomial:

y=4

Constant monomial

300

Write the name of the polynomial:

y=-2x+4x³-1

Cubic binomial

400

Write the name of the polynomial:

y=-2x²+4x³+x-1

Cubic polynomial

500

Write the name of the polynomial:

f(x)=x²+4x⁴-9x

Quartic trinomial

Operations: Addition

100

Simplify the expression:

(2x²+4x) + (3x²-3x)

5x²+x

200

Simplify the expression:

(5x²+8x-10) + (-12-x+3x²)

8x²+7x-22

300

Simplify the expression:

5x⁴(2x-6) + 3(4x)³

10x⁵-30x⁴+12x³

400

Simplify the expression:

(4x²-2x+8) + 6(x+3x)²

100x²-2x+8

500

Simplify the expression:

(x³-5x²-x+5) + (x²-5)² + (-2x+7+x)

x⁴+x³-15x²-2x+37

Operations: Subtraction

100

Simplify the expression:

(x³-2x+1)-(2x²-3)

x³-2x²-2x+4

200

Simplify the expression:

(9x²-4x+8) - (12x²-6x-3)

-3x²+2x+11

300

Simplify the expression:

(8x-x³+4-9x²) - (-7x³+9x²-10+8x)

6x³-18x²+14

400

Simplify the expression:

3(x-2x³+8-7x²) - 2x(8+5x-3x³)

-6x⁴-6x³-31x²-19x+24

500

Simplify the expression:

(4x-2)² - 3x(7x²-1)

-21x³+16x²-13x+4

Operations: Multiplication

100

Simplify the expression:

2x(x³+5)

2x⁴+10x

200

Simplify the expression:

(x+4)*(x²-5x+9)

x³-x²-11x+36

300

Simplify the expression:

(4x²+3x+5)*(x²-10x+2)

4x⁴-37x³-17x²-44x+10

400

Simplify the expression:

(2x-1)²*(x²-3x-7)

4x⁴-16x³-15x²+25x-7

500

Simplify the expression:

3x(4x²+2x)²*(x²+3x-4)

48x⁷+192x⁶-36x⁵-156x⁴-48x³

Operations: Division

100

Simplify the expression:

(8x²+12x-4) / (2)

4x² + 6x - 2

200

Simplify the expression:

(7x²+21x-14) / (-7x)

-x - 3 + (2/x)

300

Simplify the expression:

(35x³+15x+20) / (5x)

7x² + 3 + (4/x)

400

Simplify the expression:

(4x³+6x²+18x+10) / (2x²)

2x + 3 + (9/x) + (5/x²)

500

Simplify each expression and write your answer in standard form:

(9x²+15x³+12) / (3x²)

5x + 3 + (4/x²)