1. Slideshow 4 Mr Richard Sasaki Room 307 Multiplying Polynomials by a Number

2. Objectives Recall how a ‘-’ affects terms within brackets Learn how a number changes terms within brackets Multiplying polynomials by a number

3. How “-” affects a polynomial = As you are well aware now, the minus symbol swaps each symbol around for each term in the polynomial.

4. How a number affects a polynomial As with the minus symbol, any number will affect each term in the polynomial by multiplication. = Each of the terms above has been multiplied by two.

5. How a number affects a polynomial Each of the coefficients in the polynomial will be multiplied by the number outside the bracket. = So here we did 4 x 3 = 12 and -2 x 4 = -8.

6. How a number affects a polynomial Example Simplify the expression below. = As you can see, the minus symbol swaps the symbol in front of each term as usual.

7. Adding and Subtracting Polynomials with coefficients in front of brackets After we expand brackets for a polynomial, we can add or subtract this polynomial to another. = = =

8. How a number affects a polynomial Example Simplify the expression below. = = = Try the worksheets, good luck!

9. Answers - Easy

10. Answers - Medium

11. Answers - Hard