This document discusses multiplying polynomials. It defines polynomials as expressions of variables and constants combined using addition, subtraction, multiplication, and division. It provides examples of monomials, binomials, and trinomials. It then demonstrates multiplying polynomials using the distributive property and explains that when multiplying binomials, one should square the first term and subtract the square of the second term. Finally, it provides examples of multiplying binomial expressions.

1. Multiplying Polynomials
Prepared by:
Mr. Nicandro C. Salamat
SST-I
Pili National High School-Pina. Or. Mindoro
Engr. Perfecto Padilla

2. What are Polynomials?
POLYNOMIALS
 It's an expression of variables and constants combined
using addition, subtraction, multiplication, and division.

3. 1.) 2x monomial
2.) 2x + y binomial
3.) 2x + y - z trinomial
4.) 2x + y – z + 1 multinomial

4. 1.) 2² = 2 • 2 =4
2.) 3² = 3 • 3 = 9
3.) 4² = 16
4.) 5² = 25
5.) 6² = 36
6.) 7² = 49
7.) 8² = 64
8.) 9² = 81
9.) 10²=100
10.) 1² = 1

5. 4 (2x+5)=8x +20
Using distributive property

6. 14X6 (10 + 4)(10 - 4)=
= 10(10 - 4) + 4(10 – 4)
100-16
= / /
=
40 – 16
= 84
100 – 40+

7. 1.) 12X8=(10+2)(10-2)
2.) 13X7 91
3.) 15X5 75
4.) 16X4 64
=100 = 96- 4

8. 1.Square the First term
2.Minus Square the second
term

9. sumdifference

10. 1.) (a+b)(a-b) a²-b²
2.) (c+d)(c-d) c²-d²
3.) (m+n)(m-n) m²-n²
4.) (x+4)(x-4) x²-16
5.) (a+6)(a-6) a²-36

11. 6.) (2a+3b)(2a-3b) 4a²-9b²
7.) (2c+5d)(2c-5d) 4c²-25d²
8.) (3m+7n)(3m-7n) 9m²-49n²
9.) (5e²+8f³)(5e²-8f³)
10.)(9xy+4z)(9xy-4z)
25e-64f
4 6
81x²y²-16z²

12. w²-36
a²-16c²
16y²-25d²
16f²-9s²d²
144x²-9