ca_m11_handouts

ca_m11_handouts - MAC 1105 Module 11 Solution of Polynomial...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Rev.S08 MAC 1105 Module 11 Solution of Polynomial Equations 2 Rev.S08 Learning Objective Upon completing this module, you should be able to: 1. Solve polynomial equations using factoring. 2. Solve polynomial equations using factoring by grouping. 3. Solve polynomial equations using the root method. 4. Find factors, zeros, x-intercepts, and solutions. ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 3 Rev.S08 Quick Review of Polynomial Division ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. The quotient is x 2 + 5 + 5 x + 10 with a + 10 with a remainder remainder of 24. of 24. Check:
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 4 Rev.S08 Division Algorithm for Polynomials ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 5 Rev.S08 Remainder Theorem and Factor Theorem ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 6 Rev.S08 Example Use the graph of f ( x ) = x 3 x 2 – 9 x + 9 and the factor theorem to list the factors of f ( x ). Solution The graph shows that the zeros or x -intercepts of f are 3, 1and 3 . Since f ( 3) = 0, the factor theorem states that ( x + 3) is a factor , and f (1) = 0 implies that ( x 1) is a factor, and f (3) = 0 implies ( x 3) is a factor . Thus the factors are ( x + 3)( x 1), and ( x 3) . ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules.
Background image of page 2
3 7 Rev.S08 Complete Factored Form ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. 8 Rev.S08 Example ht p:/ faculty.valenciacc.edu/ashaw/ Click link to download other modules. Find all real solutions to the equation 4 x 4 – 17 x 2 – 50 = 0. Solution The expression can be factored similar to a quadratic equation . The only solutions are
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 10/18/2011 for the course MAC 1105 taught by Professor Russel during the Summer '07 term at Valencia.

Page1 / 9

ca_m11_handouts - MAC 1105 Module 11 Solution of Polynomial...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online