Topic 7 Algebra Review

7-1 Adding and Subtracting Polynomials

100

When you subtract two expressions what number are you technically distributing into the second set of parentheses? 

-1

200

Name the polynomial based on the amount of terms;

4x² y³   + 6x² y

Binomial 

300

Name the polynomial based on the degrees.

-2mn + 3m ² n - 7

Cubic

400

Add.

(3x² - 2x + 4) + (5x - 7)

3x² + 3x + 3

500

Subtract.

(4x² + 8x - 1) - (9x² - 5)

-5x² + 8x + 4

7-2 Multiplying PolynomialsAND7-3 Multiplying Special Cases

100

Rewrite the expression in standard form

9x - 2x³ + 8 - 7x²

-2x³ - 7x² + 9x + 8

200

Find the product.

6x(x²-4x-3)

6x³-24x²-18x

300

Find the product, write it in standard form.

-5x ³ (2x ³ -4x ² +2)

-10x⁶+20x⁵-10x³

400

Find the product.

(x - 6)(x + 3)

x² -3x - 18

500

Find the product. Write it in standard form.

(y + 3) (2y ² - 3y + 4)

2y ³ + 3y ² - 5y + 12

7-4 Factoring Polynomials

100

What is the GCF

8y³  and 28y

4y

200

What is the GCF?

x²y³ and x³y⁵

x²y³

300

Factor out the GCF from each polynomial.

12x² - 15x

3x(4x - 5)

400

Factor out the GCF of the polynomial.

-4y⁴ + 6y² - 14y

2y(-2y³ + 3y - 7)

500

Factor out the GCF of the polynomial.

24x³y² - 30x²y³ + 6x²y²

6x²y²(4x - 5y + 1)

7-5 Factoring x2 + bx + c

100

What two numbers multiply to 36 and have a sum of -13?

-4 and -9

200

Write the factored form of x²+3x+2

(x+2)(x+1)

300

Write the factored form of x² +2x - 24

(x+6)(x-4)

400

Write the factored form of x² -3x -18

(x-6)(x+3)

500

Write the factored form of x² -15x +54

(x+3)(x-18)

7-6 Factoring ax2 + bx + cAND7-7 Factoring Special Cases

100

Factor the perfect square trinomial

x²+14x+49

(x+7)²

200

Factor the expression.

x² - 81

(x+9)(x-9)

300

Factor the expression.

4x² - 25

(2x+5)(2x - 5)

400

Factor the perfect squared trinomial.

25x² -30x + 9

(5x - 3)²

500

Factor the trinomial.

6x² -11x - 7

(3x - 7)(2x+1)