A1 Unit 7 Reteach Lesson

Unit 7 Reteach Lesson

Adding and Subtracting Polynomials!🌟

Adding Polynomials

1. Place like terms together

2. Add the like terms

Example: Adding Polynomials

Multiple Choice

Add the polynomials (x-2) and (x²+3)

• x²+x+1
• x³+5
• x³+1
• x³-1

Multiple Choice

Add these polynomials:

(5x + 2) + (4x + 5)

• 9x -7

• -9x-11

• 9x+7

• x+7

Multiple Choice

(2x + 5y - z) + (-6x - 4y + 7z)

• -4x +6y + 6z

• 4x + y + 6z

• -4x - y + 6z

• -4x + y + 6z

Subtracting Polynomials

To subtract Polynomials, first reverse the sign of each term we are subtracting (in other words turn "+" into "-", and "-" into "+"), then add as usual.

Subtracting Polynomials Example

Multiple Choice

Subtract these polynomials:

(4x²+ x) - (x²+ 2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

Multiple Choice

Subtract these polynomials:

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

• -8n² - 8n + 3

• -7n² - 8n + 3

• -6n² - 8n + 3

• -7n² - 4n + 3

Multiple Choice

Subtract these polynomials:

(x⁵ + x³) - (6x - x³ + 6x⁵)

• -5x⁵ + 2x³ - 6x

• 7x⁵ - 6x

• -5x³ + 2x² - 6x

• -5x⁵ - 6x

Multiplying Polynomials

Multiple Choice

Multiply and Simplify.

$$\left(x+3\right)\left(x-5\right)$$  

• $$x^2-2x-15$$  

• $$x^2+3x-15$$  

• $$x^2-15$$  

• $$x^2+15$$  

Multiple Choice

Multiply and Simplify.

$$\left(3x+2\right)\left(2x-7\right)$$  

• $$6x^2-14$$  

• $$5x^2-5$$  

• $$6x^2-17x-14$$  

• $$6x^2+25x-14$$  

Multiple Choice

Multiply and Simplify.

$$\left(4x+1\right)\left(4x-1\right)$$  

• $$16x^2-1$$  

• $$8x^2-1$$  

• $$16x^2+1$$  

• $$8x^2+1$$  

Factoring Trinomials

Multiple Select

Click all that apply!

What would complete the X??

• 4

• -4

• 3

• -3

Multiple Select

Click all that apply!

What would complete the X??

• 4

• -4

• 6

• -6

Multiple Select

Click all that apply!

What would complete the X??

• 9

• 3

• -9

• -3

Multiple Choice

Factor

x² + 15x + 36

• (x - 12)(x - 3)

• (x + 3)(x + 12)

• (x + 12)(x - 3)

• (x + 3)(x - 12)

Multiple Choice

Factor

x² - 8x + 12

• (x + 6)(x + 2)

• (x + 3)(x + 4)

• (x - 4)(x - 3)

• (x - 2)(x - 6)

Multiple Choice

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Multiple Choice

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

Multiple Choice

Factor completely.
5x² - 7x + 2

• 5(x - 2)(x + 1)
• (5x - 2)(x + 1)
• (7x - 1)(x - 4)
• (5x - 2)(x - 1)