synthetic division notes.notebook
Bell Ringer
1. Divide
March 23, 2015
Divide using Synthetic Division
2. Tell me all you can.
(2x4 + 3x3 ­ x ­ 5) / (x + 2)
Mar 19­7:10 AM
(2x4 + 3x3 ­ x ­ 5) / (x + 2)
Mar 19­7:20 AM
Tell me everything you can about this polynomial.
(3x4 ­ 11x3 ­ 18x + 8) / (x ­ 4)
Mar 19­7:21 AM
Evaluating Polynomials
Mar 23­8:26 AM
P(x) = 3x4 ­ 16x2 ­ 3x ­ 7 when x = ­2
Remainder Theorem:
If R is the remainder after dividing the polynomial P(x) by x ­ r, then P(r) = R.
There are two methods for evaluating polynomials.
1) Remainder theorem and synthetic division
2) Evaluating P(x) directly.
Apr 30­7:50 AM
Mar 19­7:25 AM
1
synthetic division notes.notebook
Is the given number a zero of the polynomial? Use synthetic division.
EX:
EX:
x2 + 4x ­ 221, ­17
2x + 38x ­ x + 19, ­19
3
2
Apr 30­7:56 AM
March 23, 2015
Bell Ringer
1. Divide
2. Tell me all you can.
(2x4 + 3x3 ­ x ­ 5) / (x + 2)
Mar 19­7:10 AM
Divide using Synthetic Division
(3x4 ­ 11x3 ­ 18x + 8) / (x ­ 4)
(2x4 + 3x3 ­ x ­ 5) / (x + 2)
Mar 19­7:20 AM
List everything you know about this polynomial.
Mar 19­7:21 AM
Evaluating Polynomials
Remainder Theorem:
If R is the remainder after dividing the polynomial P(x) by x ­ r, then P(r) = R.
There are two methods for evaluating polynomials.
1) Remainder theorem and synthetic division
2) Evaluating P(x) directly.
Mar 23­8:26 AM
Apr 30­7:50 AM
2
synthetic division notes.notebook
P(x) = 3x4 ­ 16x2 ­ 3x ­ 7 when x = ­2
March 23, 2015
Is the given number a zero of the polynomial? Use synthetic division.
EX:
EX:
x + 4x ­ 221, ­17 2x3 + 38x2 ­ x + 19, ­19
2
Mar 19­7:25 AM
Bell Ringer
1. Divide
Apr 30­7:56 AM
Divide using Synthetic Division
2. Tell me all you can.
(2x4 + 3x3 ­ x ­ 5) / (x + 2)
Mar 19­7:10 AM
(2x4 + 3x3 ­ x ­ 5) / (x + 2)
Mar 19­7:20 AM
Tell me everything you can about this polynomial.
(3x ­ 11x ­ 18x + 8) / (x ­ 4)
4
3
Mar 19­7:21 AM
Mar 23­8:26 AM
3
synthetic division notes.notebook
Evaluating Polynomials
March 23, 2015
P(x) = 3x4 ­ 16x2 ­ 3x ­ 7 when x = ­2
Remainder Theorem:
If R is the remainder after dividing the polynomial P(x) by x ­ r, then P(r) = R.
There are two methods for evaluating polynomials.
1) Remainder theorem and synthetic division
2) Evaluating P(x) directly.
Apr 30­7:50 AM
Is the given number a zero of the polynomial? Use synthetic division.
Mar 19­7:25 AM
Bell Ringer
1. Divide
(2x4 + 3x3 ­ x ­ 5) / (x + 2)
EX:
x2 + 4x ­ 221, ­17
2. Tell me all you can.
EX:
2x3 + 38x2 ­ x + 19, ­19
Apr 30­7:56 AM
Mar 19­7:10 AM
Divide using Synthetic Division
(3x4 ­ 11x3 ­ 18x + 8) / (x ­ 4)
(2x4 + 3x3 ­ x ­ 5) / (x + 2)
Mar 19­7:20 AM
Mar 19­7:21 AM
4
synthetic division notes.notebook
March 23, 2015
Tell me everything you can about this polynomial.
Evaluating Polynomials
Remainder Theorem:
If R is the remainder after dividing the polynomial P(x) by x ­ r, then P(r) = R.
There are two methods for evaluating polynomials.
1) Remainder theorem and synthetic division
2) Evaluating P(x) directly.
Mar 23­8:26 AM
P(x) = 3x4 ­ 16x2 ­ 3x ­ 7 when x = ­2
Apr 30­7:50 AM
Is the given number a zero of the polynomial? Use synthetic division.
EX:
EX:
x + 4x ­ 221, ­17
2x3 + 38x2 ­ x + 19, ­19
2
Mar 19­7:25 AM
Apr 30­7:56 AM
Mar 23­1:28 PM
5