Transcript 6-2 - Humble ISD

6-2
6-2 Multiplying Polynomials
Lesson Quiz
Lesson Presentation
Holt
Algebra
Holt
Algebra
22
6-2
Multiplying Polynomials
Lesson Quiz
Find each product.
1. 5jk(k – 2j)
2. (2a – 3)(a + 5)
2a2 + 7a –15
Holt Algebra 2
5jk2 – 10j2k
6-2
Multiplying Polynomials
Objectives
Multiply polynomials.
Holt Algebra 2
6-2
Multiplying Polynomials
To multiply a polynomial by a monomial, use
the Distributive Property and the Properties
of Exponents.
Holt Algebra 2
6-2
Multiplying Polynomials
Exponent Rules
When you multiply like bases, you add the exponents and the base stays the same
.
When you divide like bases, you subtract the exponents and the base stays the same.
Power raised to a power, you multiply the powers and the base stays the same.
Zero exponent, the answer is one and the base goes away.
Negative exponent, send the base to the other side, and the exponent becomes positive.
Holt Algebra 2
6-2
Multiplying Polynomials
Check It Out! Example 2b
Find the product.
(x2 +5x)(x2 - 4x+1)
Multiply each term of one polynomial by each term of
the other. Use a table to organize the products.
x2
–4x
1
The top left corner is the first
2
4
3
2
x
x
–4x
x
term in the product. Combine
terms along diagonals to get
2
5x 5x3 –20x
5x
the middle terms. The bottom
right corner is the last term in
the product.
x4 + (–4x3 + 5x3) + (– 20x2 + x2) + (5x)
x4 + x3 – 19x2 + 5x
Holt Algebra 2
6-2
Multiplying Polynomials
Check It Out! Example 2b
Find the product.
(2x2 – 5x + 3)(x2 + 4x – 1)
Multiply each term of one polynomial by each term of
the other. Use a table to organize the products.
-1
x2
+4x
The top left corner is the first
2
4
3
2
2x 2x
+8x -2x
term in the product. Combine
terms along diagonals to get
2
-5x -5x3 -20x +5x
the middle terms. The bottom
right corner is the last term in
3
2
3x +12x -3
the product.
2x4 + (- 5x3 + 8x3) + (3x2 -20x2 - 2x2) + (+12x +5x) -3
2x4 + 3x3 -19x2 +17x -3
Holt Algebra 2
6-2
Multiplying Polynomials
Assignment
ALL Odd numbers
Starting with 1. (6n+2)(-5n2 + 8n + 5)
Need to see 1,3, 5 before you leave class today.
Due Wed/Thurs(whichever day I have you)
Quiz Tomorrow
Holt Algebra 2