2023 COT 1 mathematics 10 polynomials.pptx

Lesson plan presentation for math

1. MATHEMATICS 10

2. PRAYER

3. O B J E C T I V E S Proves the Factor Theorem Determine whether x – c is a factor of a polynomial Demonstrate application in applying the Factor Theorem in solving for the factor when P(x) is divided by x - c

4. REVIEW Find the quotient using synthetic division (X 3 – 2x 2 – 5x + 6) ÷ (x – 3)

5. REVIEW 3 1 -2 -5 6 1 3 1 3 -2 -6

6. Rubrics

7. FIND MY PAIR Match the following quadratic expressions to their corresponding factors X 2 + 7x + 12 (x + 4) (x + 3) X 2 - 7x + 10 (x - 5) (x - 2) X 2 + 9x - 10 (x + 10) (x - 1)

8. EVALUATE ME X 2 + 7x + 12 When x = - 4 (- 4) 2 + 7(- 4) + 12 16 + (- 28) + 12 16 - 28 + 12

9. EVALUATE ME X 2 + 7x + 12 When x = - 3 (- 3) 2 + 7(- 3) + 12 9 + (- 21) + 12 9 - 21 + 12

10. EVALUATE ME X 2 + 7x + 12 When x = 2 (2) 2 + 7(2) + 12 4 + (14) + 12 4 + 14 + 12 30

11. Guide Questions: What are the values of the expression when x = -4 and x = -3? How about if the value of x is 2?

12. Direction: Base from the activity. Fill in the blanks to complete the statement.   x – c is a factor of P(x) if and only if the remainder R of P(x) ÷ (x – c) is ________________. By the Remainder Theorem, R = 0 if and only if x- c is _______________ of P(x) Thus, (x – c) is a factor of P(x) if and only if R = ______________ ANALYSIS ZERO (0) FACTOR

13. ABSTRACTION WHAT DOES FACTOR THEOREM TELL US ? The Factor Theorem   x – c is a factor of P(x), if and only if P(c) = 0.

14. APPLICATION Direction: Determine whether the given binomial is a factor of the given polynomial   Write F if it is a factor and write the remainder if NOT. x – 1 ; x 3 + 3x 2 + x – 1 x – 2 ; x 3 – 8 x – 4 ; 2x 3 – 9x 2 + 9x – 20 x – 1 ; x 3 – x – 2

15. APPLICATION REMAINDER = 4 F F REMAINDER = -2

16. ASSESSMENT Direction: Write F if the given binomial is a factor of the given polynomial and NF if NOT -4x 3 + 5x + 8 ; x – 3 2x 3 + x 2 – 13x + 6 ; x + 3 4x 3 – 3x 2 – 8x + 4 ; x – 2 2x 3 + 5x 2 – 3 ; x + 1

17. Do activity 7 on page 77 of Mathematics 10 learner’s Module. Write your answers on your notebook ASSIGNMENT

18. “ The most influential of all educational factors is the conversation in a child’s home.” William Temple REFLECTION