X + 5 4x +20x R + 3 3x - 16 3x - +15 -31 - - -. Tues 11/24 Lesson 5 – 4 Learning Objective: To divide polynomials by synthetic division Hw: Pg.

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Presentation transcript:

x + 5 4x +20x R + 3 3x x

Tues 11/24 Lesson 5 – 4 Learning Objective: To divide polynomials by synthetic division Hw: Pg.

Algebra II

 To divide polynomials by synthetic division  To apply the Remainder Theorem  To understand the Factor Theorem

x = 4 4

x = -2 -2

x = 7 7

3x x

Need to divide by 3

3

-4

 If you divide a polynomial P(x) by x – a, and the remainder is ZERO, then x – a is a factor of P(x).

-5  R 0, so x + 5 is a factor of P(x)!  Factor more!

Factor more!

8. What are the actual dimensions if the length is 10 inches? Length = x = x + 1 x = 9 Width = (x + 3) = (9 + 3) = 12 in. Height = (x + 2) = (9 + 2) = 11 in. 10” x 12” x 11”