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5.6 More on Polynomials

5.6 More on Polynomials. To write polynomials in descending order.. To evaluate polynomials. To write a polynomial in descending order:. The term with the greatest exponent is written first. The term with the next greatest exponent is written next, and so on.

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5.6 More on Polynomials

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  1. 5.6 More on Polynomials • To write polynomials in descending order.. • To evaluate polynomials.

  2. To write a polynomial in descending order: • The term with the greatest exponent is written first. • The term with the next greatest exponent is written next, and so on. • If there is a constant, it is written last. 8x4 + 3x2 –2x +5

  3. Arrange is descending order for the variable “x” 3x + 3 + 4x7 – 4x6 4x7 – 4x6 + 3x + 3

  4. -5x5 + 16x3 + 5x2 - 7x -19

  5. Arrange is descending order for the variable “x” 7xy5 + 5x3y3 – 3x2y 5x3y3 – 3x2y+ 7xy5

  6. -x5y2 – 9x4 + x3 – x2y3 + 7xy + 10

  7. x4y – 6x3y5 – x2y +x -17

  8. Collect Like Terms and Then Arrange in Descending Order 4x³ + 3x ²+ 5x³ -2x² 4x³+3x ²+5x³+-2x² 9x³ + x²

  9. Evaluating a polynomial: • Replace the variable with a number and calculate the result. • Example: Evaluate 3x + 5 for x = 6 3(6) + 5 = 23

  10. 13

  11. 6

  12. -3(22) +16(3) + 5 -12 + 48 + 5 36 + 5 41

  13. 31

  14. Evaluate Polys on the Calculator2x³+4x² – 5 for x=12 2 Ways: 1.) 2 (12) ^3 + 4(12)^2 – 5 = 2 (12) yx 3 + 4 (12) yx 2 - 5 = 2.) 12 STO 2 · RCL yx 3 + 4 · RCL yx 2 – 5 = ANSWER : 4027

  15. Assignment:Page 229(2-36) even

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