CST Warm Up 1) 2) 3) 4)

6-4: Dividing Polynomials

Divide Polynomials by Monomials Distribute the division, and simplify Example:

Practice

Long Division - divide a polynomial by a polynomial Think back to long division from 3rd grade. How many times does the divisor go into the dividend? Put that number on top. Multiply back and put the result under the dividend. Subtract and bring down the next number. Same Process…

Long Division - Divide just the FIRST terms– put the result on top divide a polynomial by a polynomial Divide just the FIRST terms– put the result on top Multiply the top and the divisor Subtract the result (Distribute!) Bring down the next term

x – 8 x2/x = x -8x/x = -8 -( ) + 3x x2 - 8x - 24 -( ) - 8x - 24 Example: x – 8 x2/x = x -8x/x = -8 -( ) + 3x x2 - 8x - 24 -( ) - 8x - 24

Practice (leave remainders) Divide by

Missing Terms Arrange terms in descending order IF any degree is missing, put in O as a placeholder (like a 0 in the tens place in the number 103) Ex: 2x4 – 3x+ 5 = 2x4 + 0x3 + 0x2 -3x + 5

Remainders IF there is a remainder, leave it in the fraction Ex:

h2 + 4h + 5 -( ) - 4h2 h3 - 11h 4h2 -( ) 4h2 - 16h 5h + 28 -( ) 5h - 20 48

Practice Divide by

Polynomial Remainders Once the degree of the remainder is less than the degree of the divisor, you are done! Example:

x + 9 -( ) x3 – x + x 9x2 -( ) 9x2 – 9 x + 4

Practice

HW: p. 262 1 – 25 Odd, 22