Algebra 2 Units

Operations of Polynomials

100

(8s³+7s²+11s)+(-2s³+7s²-2s)

(6s³+14s²+9s)

200

(x³-4x²)-(3x²+6x)

(x³-7x²-6x)

300

5(-2f-4)

(-10f-20)

400

(6x+4)(2x-6)

(12x²-28x-24)

500

(7a-3)(a²-2a+9)

(7a³-17a²+69a-27)

Operations of Complex Numbers

100

i²³⁵⁶=i^?

i⁰ or 1

200

(-4+8i)(-2-2i)

(24-8i)

300

(7+3i)(3-6i)

(39-33i)

400

(7+8i)-(5-6i)

(2+14i)

500

x²+81=0

x=±9i

Quadratics

100

Is this the quadratic formula?

x=b±√(-b)²-4ac/2a

No, x=-b±√(b)²-4ac/2a is the quadratic formula.

200

Solve 2x²+4x-6 using the quadratic formula.

x=1,-3

300

Solve x²+4x-21 by using the quadratic formula.

x=3,-7

400

Solve x²-6x-16 by using the quadratic formula.

x=8,-2

500

Solve x²-8x+12 by using the quadratic formula.

x= 6, 2

Rational Root Theorem

100

List the possible rational roots of f(x)=x⁴-3x³+7x²+2x+8.

{±1,±2,±4,±8}

200

List the possible rational roots of f(x)=3x⁴-4x²-9.

{±1,±1/3,±3,±9}

300

True or false: Are {-1, 1/2, 1/3, -1/6} possible factors of f(x)=6x³-5x-1?

True, possible factors are {±1,±1/2,±1/3,±1/6}.

400

List the possible rational roots of f(x)=8x³+2x²-5x+2.

{±1,±1/2,±1/4,±1/8,±2}

500

List the possible rational roots of f(x)=3x⁴-5x²-2x-6.

{±1,±2,±3,±6,±1/3,±2/3}

Binomial Expansion

100

Expand (4x+2)² completely.

16x²+16x+4

200

What is the second term in the expansion of (3x+4)³?

108x²

300

What is the third term in the expansion of (2x+3)⁵?

720x³

400

Expand (x+2y)⁵

x⁵+10x⁴y+40x³y²+80x²y³+80xy⁴+32y⁵

500

Expand (4x-4y)³

64x³-192x²y+192xy²-64y³