Operations on Polynomials

Adding and Subtracting Polynomials

Adding Polynomials ,[object Object],+ + + = = 2 2 2 Does not =

Example ,[object Object],(-7z 2 + 9z – 3) + (8z 2 – 6z + 9) = -7z 2 + 8z 2 + 9z – 6z – 3 + 9 = 1z 2 + 3z + 6 = z 2 + 3z + 6 Rearrange the terms so that the like terms are grouped together. Add like terms. 1z 2 = z 2

Finding the Opposite of a Polynomial ,[object Object]

Example ,[object Object],– (–5a + 3b – 7c) = We change the sign of each term 5a 3b 7c – + – in front of parentheses

Subtracting Two Polynomials ,[object Object]

Example ,[object Object],[object Object],= 3a 2 + 4a – 7 + ( – 7a 2 ) + 2a + 5 A – sign in front of parentheses indicates we are subtracting. We change the sign of terms that were inside parentheses, then add. = 3a 2 + 4a – 7 + (– 7a 2 ) + 2a + 5 Simplify by combining like terms. = -4a 2 + 6a – 2

Example ,[object Object],-2y (5y 2 + 3y – 8) = -2y (5y 2 ) – 2y (3y) – 2y (– 8) Multiply each term by -2y = -10y 3 – 6y 2 + 16y

Example ,[object Object],First F Outer O Inner I Last L 3x 2 - 6x x - 2 (3x + 1)(x – 2) = 3x 2 – 5x - 2 Combine like terms. (3x + 1) (x - 2) First Outer Inner Last

I hope you enjoyed this short presentation on Polynomials

Operations on Polynomials

Recommended

Recommended

More Related Content

What's hot

What's hot (20)

Viewers also liked

Viewers also liked (6)

Similar to Operations on Polynomials

Similar to Operations on Polynomials (20)

Recently uploaded

Recently uploaded (20)

Operations on Polynomials