Addition of Polynomials

The term that cannot be added is ______.

How do you identify like terms when adding polynomials?

• Have the same variables with the same exponents

• Have the same coefficient and variables

• Do not have the same variables but with the same exponents

What way/s can be used when adding two polynomials?

• Horizontally

• Distributive Property

• FOIL

• Vertically

Arrange the steps in performing addition of polynomials Vertically:

I. Place the polynomials in a vertical arrangement, with the like terms placed one above the other in both the polynomials.

II. If any power term is missing in any polynomial, we write '0' as its coefficient to avoid confusion in the column-wise arrangement.

III. Write the polynomials in standard form.

IV. Perform the calculations by retaining the sign of the terms.

• A. III,I,II,IV

• B. I,IV,III,II

• C. II,III,I,IV

• D. II,I,III,IV

What do you do if there are no like terms in two polynomials that you are adding?

• Write all terms together in standard form.

• Write all terms together in general form.

What is the sum of the following polynomials: ( 3 𝑥² + 2 𝑥 + 1 ) and ( 𝑥 ² + 4 𝑥 − 5 ) ?

• 4x ² - 6x − 4

• 4x ² + 6x − 4

• 4x ² - 6x + 4

• 4x ²+ 6x + 4

The term that cannot subtract is ______.

What is your first step when you see this eqaution?

( 3 𝑥² + 2 𝑥 + 1 ) − ( 𝑥 ² + 4 𝑥 − 5 )

• Distribute the negative sign to second polynomial

• Combine like terms

• Used FOIL method

• None of these

(4x² + 8x +10 ) - (5x²- 14x - 15)

• -9x²+20x+25

• -x²+22x+25

• x²+22x+25

(4x - 10y + 15z) - (5x + 8y - 20z)

• -x-18y+35x

• -2x-18y+35x

• -3x-18y+35x

• -4x-18y+35x