Specialist Mathematics Polynomials Week 3. Graphs of Cubic Polynomials.

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Presentation transcript:

Specialist Mathematics Polynomials Week 3

Graphs of Cubic Polynomials

Graphs of Quartic Polynomials

Example 20 (Ex 3F1)

Solution 20

Example 21(Ex 3F2)

Solution 21

Example 22 (Ex 3F2)

Solution 22

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.

Example 23 (Ex 3G1)

Solution 23

Example 24 (Ex 3G1)

Solution 24

Example 25 (Ex 3G2)

Solution 25

Example 26 (Ex 3G2)

Solution 26

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