Polynomial Operations - Alg 1 Review

Radicals

100

Simplify

10sqrt(28m^3)

20msqrt(7m)

200

-sqrt(16n^3)

-4nsqrt(n)

300

Simplify

-8sqrt(128m^4)

-64m^2sqrt2

400

Simplify

sqrt(80)

4sqrt5

500

Simplify

sqrt4

2

Adding or Subtracting Polynomials

100

(3x+5) + (4x+1)

7x + 6

200

(6x-7) + (4x+5)

10x-2

300

(5x²-4x+7) - (8x² -2x-2)

-3x² -2x +9

400

(5x³+4x+7-x²) - (2x-6x²+x⁴)

-x⁴+5x³+5x²+2x+7

500

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

4x³ + x² – 3x + 1

Factor

100

x² + 12x + 20

(x + 10) (x + 2)

200

x² - 81

(x - 9) (x + 9)

300

6x³-18x²+7x-21

(x²+7)(x-3)

400

3x²-18x+27

3(x-3)(x-3)

500

12x² + 17x + 6

(4x+3)(3x+2)

Multiplying Polynomials

100

(x+2)(x+3)

x²+5x+6

200

(x-7)(x+2)

x²-5x-14

300

(2x+4)(x-8)

2x²-12x-32

400

(x-4)²

x²-8x+16

500

DAILY DOUBLE (this one is HARD!) (2x³+3)(3x² − 4x + 7)

6x⁵ − 8x⁴ + 14x³ + 9x² − 12x + 21

Grab Bag (Anything Goes)

100

These two types of exponents prevent an expression from being a polynomial.

What are negative and fractional exponents (roots)?

200

The general case of (x + y)(x + y)

x²+2xy+y²

300

The GCF of 64x²y⁵+32x³y³+88xy⁴

8xy³(8xy²+4x²+11y)

400

(a+3)²-(6x+9)

a²

500

Simplify and multiply (Remember order of operations):

(7x³ +8x²-10x³+9x+3x³-3x-6x²)(x+1)

2x³+8x²+6x