Presentation is loading. Please wait.

Presentation is loading. Please wait.

Pg.15 Synthetic Division EQ: What is synthetic division and how is it used to determine roots and factors?

Similar presentations


Presentation on theme: "Pg.15 Synthetic Division EQ: What is synthetic division and how is it used to determine roots and factors?"— Presentation transcript:

1 Pg.15 Synthetic Division EQ: What is synthetic division and how is it used to determine roots and factors?

2 Dividend: the expression that is being divided Divisor: the expression you are dividing by Quotient: the solution after you divide Remainder: expression that is left over

3 Example) Divisor Quotient RemainderDividend

4 1. Find a root of the polynomial 2. Re-write the dividend so that no exponents are skipped 3. “Set up” using only the coefficients 4. Bring down the first value 5. Multiply, Add, Repeat 6.Degree drops by “1”

5 Ex 1) Divide by 73 -29 56 3 -8 0

6 Is 3 a factor of 12? YES!

7 Is 5 a factor of 12? NO!

8 The Remainder Theorem  P(a) = remainder when divided by (x – a)  If P(a) = 0, then “a” is a root.  If P(a) = 0 then (x – a) is a factor of P

9 Ex 2) Find P(-2) using the Remainder Theorem: (x+2) is not a factor

10 #1 2 1-5 0 0 1 1 -3 -6 -12-23

11 #2

12 #3

13 #4

14 #5

15 #6

16 If the polynomial crosses the x-axis at the value “a” then… 1.x = a is a root/zero 2.P(a) = 0 3.x – a is a factor of the polynomial 4.Dividing by x – 4 gives a remainder of 0


Download ppt "Pg.15 Synthetic Division EQ: What is synthetic division and how is it used to determine roots and factors?"

Similar presentations


Ads by Google