Writing Polynomial Function to Standard Form.pptx

This topic will help the students to write the polynomial function in standard form

1. WRITING polynomial function IN STANDARD FORM

2. Standard form means that you write the terms by decreasing exponents.

3. Examples P(x) = x 2 – x – 2 y = x 3 + 3x 2 – x + 3 f(x) = 2x 4 + 5x 3 – x 2 + 2x + 13

4. here’s what to do: 1. Write the term with the highest exponent first. 2. Write the terms with lower exponents in descending order. 3. Remember that a variable with no exponent has an understood exponent of 1. 4. A constant term always comes last.

5. Example 1: P(x) = 1 + 2x + x 5 − 4x 3 + 2x 4 + 5x 2 Example 2: f(x) = 2x 3 + x 2 − 3x 4 + 6x 6 + 5x

6. Example 3: P(x) = 5x + 9x 2 − 3x 4 Example 4: y = x(− 5 + x 2 )

7. Example 5: f(x) = −x(x − 4)( x + 4) Example 6: y = (x + 2)(x - 1)(3x + 2)

8. Try me  f(x) = x 2 + 3x – 2x 4 + 8 y = 2x(x 2 + 3x) P(x) = x(x – 3)(x + 2)

9. Answer me  1) P(x) = -3x 3 + 5x – 2x 6 – 7x 2 + 12 2) P(x) = 9x + 2x 2 + 21 – x 3 3) y = -x(7x + x 2 – 13) 4) P (x ) = x 2 (x 2 + 5)(x – 5) 5) P (n ) = (2n + 1)(-3 + n)(n + 3 )