CP - Lesson: Add and Subtract Polynomials

Multiple Select

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Adding and Subtracting Polynomials

Objective: Add and subtract polynomials.

Math Response

Simplify: $$3x-9-7x+13$$

Type answer here

Correct Answer: -4x+4

Deg^°

Rad

​Like Terms: terms that have the SAME variable(s)

​Vocabulary

​Combine Like Terms: take multiple like terms and make them one (SIMPLIFY)

​​Example: 4x² and 7x² are like terms

Example: 4x² and 7x are NOT like terms

​Simplify: 4x² - 3 - 7x² + 2
Answer: -3x² - 1

​ADDING POLYNOMIALS

​Example:

(-4x⁴ + 14 + 3x²) + (-3x⁴ -14x² - 8)

Math Response

Simplify: $$\left(-x^4+13x^5+6x^3\right)+\left(6x^3+5x^5+7x^4\right)$$

Type answer here

Correct Answer: 18x^5+6x^4+12x^3

Deg^°

Rad

EXAMPLE

Find the perimeter of the figure.​

​ADDING POLYNOMIALS

Math Response

Find the perimeter of the shape.

Type answer here

Correct Answer: 7x-112

Deg^°

Rad

​EXAMPLES

​​Adding: (4x² - 3) + (7x² - 2)

​​Subtracting: (4x² - 3) - (7x² - 2)

​SUBTRACTING POLYNOMIALS

Math Response

Simplify: $$\left(8x+6x^2\right)-\left(3x+x^2\right)$$

Type answer here

Correct Answer: 5x^2+5x

Deg^°

Rad

​SUBTRACTING POLYNOMIALS

​Example:

(3x² - 5x + 4) - (7x² + x - 2)

Math Response

Simplify: $$\left(5x^2+4x-3\right)-\left(2x^2-3x+9\right)$$

Type answer here

Correct Answer: 3x^2+7x-12

Deg^°

Rad

Fill in the Blanks

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