Lesson 7.1 PART 2: Add & Subtract Polynomials

Lesson 7-1 (Part Two): Adding
and Subtracting Polynomials

I can combine like terms to simplify polynomials.

(A1.AAPR.1*)

1

Combining like terms:
Like terms are terms that have identical variable parts
raised to the same power!

2

The proper form is ALPHABETICAL and in POWER order (greatest to least)!

The proper form is ALPHABETICAL and in POWER order (greatest to least)!

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The proper form is ALPHABETICAL and in POWER order (greatest to least)!

​

Math Response

Simplify

$$4x^2-3x-x^2+3x$$

Type answer here

Correct Answer: 3x^2

Deg^°

Rad

Math Response

Simplify

$$7y^3-3y+5y^3-2y+7$$

Type answer here

Correct Answer: 12y^3-5y+7

Deg^°

Rad

5

(4x² + 3x - 3) + (3x² + 6)

Remember, you can only combine LIKE terms!

4x² + 3x² + 3x - 3 + 6

7x² + 3x + 3

Math Response

Find the sum

$$\left(3x^2+2x\right)+\left(-x+9\right)$$

Type answer here

Correct Answer: 3x^2+x+9

Deg^°

Rad

Math Response

Find the sum

$$\left(-2x^2+5x-7\right)+\left(3x+7\right)$$

Type answer here

Correct Answer: -2x^2+8x

Deg^°

Rad

8

(6x² + 3x - 2) - (3x² + 5x - 8)

I like to ADD the OPPOSITES! So I will change the second polynomial's signs and ADD! But you can follow normal subtraction rules if you want!

(6x² + 3x - 2) + (-3x² - 5x + 8)

6x² - 3x² + 3x - 5x - 2 + 8

3x² - 2x + 6

Math Response

Find the difference

$$\left(3x^2+4x+2\right)-\left(-x+4\right)$$

Type answer here

Correct Answer: 3x^2+5x-2

Deg^°

Rad

Math Response

Find the difference

$$\left(-5x-6\right)-\left(4x^2+6\right)$$

Type answer here

Correct Answer: -4x^2-5x-12

Deg^°

Rad

Math Response

An engineer is reviewing the layout of a solar farm. What is the total area of the farm's solar panels as a polynomial?

Type answer here

Correct Answer: 69x^2+680x

Deg^°

Rad