Presentation is loading. Please wait.

Presentation is loading. Please wait.

Specialist Mathematics Polynomials Week 3. Graphs of Cubic Polynomials.

Similar presentations


Presentation on theme: "Specialist Mathematics Polynomials Week 3. Graphs of Cubic Polynomials."— Presentation transcript:

1 Specialist Mathematics Polynomials Week 3

2 Graphs of Cubic Polynomials

3

4 Graphs of Quartic Polynomials

5

6

7 Example 20 (Ex 3F1)

8 Solution 20

9 Example 21(Ex 3F2)

10 Solution 21

11 Example 22 (Ex 3F2)

12 Solution 22

13 Polynomial Theorems Every real polynomial of degree n can be factorized into n real or complex linear factors. Complex roots of real polynomials come in conjugate pairs. Every real polynomial can be factorized into combinations of real linear and real quadratic factors. Every real polynomial of odd degree has at least one real linear factor.

14 Example 23 (Ex 3G1)

15 Solution 23

16 Example 24 (Ex 3G1)

17 Solution 24

18 Example 25 (Ex 3G2)

19 Solution 25

20 Example 26 (Ex 3G2)

21 Solution 26

22 This Week Text Book Pages 97 to 110 Page 99 Ex 3F1 Q1 – 5 Page 102 Ex 3F2 Q1 – 4 Page 105 Ex 3G1 Q1 – 4 Page 107 Ex 3G2 Q1 - 6


Download ppt "Specialist Mathematics Polynomials Week 3. Graphs of Cubic Polynomials."

Similar presentations


Ads by Google