Algebra 1 / LESSON 8

LESSON 8-1

100

How would you classify this?

4x²

What is a Quadratic?

200

How would you classify this?

4x²+3x

What is a Quadratic Binomial?

300

How would you classify this?

-6³-8x²+5x+12

What is a Cubic Polynomial?

400

How would you classify this?

4x-1+5x³+7x

STEP 1:    5x³+11x-1

What is a Cubic Trinomial?

500

How would you classify this?

(x³-3x²+5x)-(7x³+5x²-12)

STEP 1:   -6x³-8x²+5x+12

What is a Cubic Polynomial?

LESSON 8-2

100

Solve and Classify:

2x(3x+1)

STEP 1:  6x²+2x

STEP 2: Quadratic Binomial

200

Factor:

5x³+25x²+45x

What is 5x(x²+5x+9)

300

Solve and Classify:

-x³(9x⁴-2x³+7)

STEP 1: -9x⁷+2x⁶-7x³

STEP 2: 7th Degree Trinomial

400

Factor:

4x⁵-24x³+8x

What is 4x(x⁴-6x²+2)

500

Factor: 

24x²y³-12xy²+8x³y²

What is 4xy²(6xy-3+2x²)

LESSON 8-3

100

What does FOIL stand for?

Firsts, Outers, Inners, Lasts

200

FOIL:

(5x-3)(2x+1)

STEP 1: 10x²+5x-6x-3

STEP 2: 10x²-x-3

300

FOIL:

(2x+4)(3x-7)

STEP 1: 6x²-14x+12x-28

STEP 2: 6x²-2x-28

400

FOIL and Classify:

(2x²+3)(2x-5)

STEP 1: 4x³-10x²+6x-15

STEP 2: Cubic Polynomial

500

FOIL:

(3x²+x-5)(2x-7)

STEP 1: 6x³+2x²-10x-21x²-7x+35

STEP 2: 6x³-19x²-17x+35

LESSON 8-4

100

What formula can we use for a situation like this:

(n-7)²

(a-b)² = a²-2ab+b²

200

What formula can we use for a situation like this:

(2x+9)²

(a+b)² = a²+2ab+b²

300

What is the trick that we use for a situation like this:

(x+2)(x-2)

(a+b)(a-b) = a²-b²

400

Solve using the trick we know: 

(x+6)(x-6)

What is x²-36?

500

Try our trick on these two questions: 

*This question is worth 500 pts*

1.  (n-7)²

2.  (2x+9)²

ANSWER 1: n²-14n+49

ANSWER 2: 4x²+36x+81

LESSON 8-5

100

Factor:

x²+11x+28 

What is (x+4)(x+7)?

200

The area of a rectangular rug is given by the trinomial r²−4r−77. What could the dimensions be? (USE A COMMA TO SEPARATE ANSWERS)

What is r-11, r+7?

300

Factor: 

x²+x-42

(x-6)(x+7)

400

Factor: 

b²-bz-20x²

What is (b+4z)(b-5z)?

500

Factor: 

w²+12wg+27g²

What is (w+9g)(w+3g)?