Multiplying polynomials can be easier if you remember a few helpful methods:
Distributive Property: This means you can multiply every part of one polynomial by every part of the other. For example, if you want to multiply ((2x + 3)(x + 4)), you do it like this:
Now, put all the results together: (2x^2 + 11x + 12).
FOIL Method: This is a special way to multiply two binomials (two-term expressions). Just remember: First, Outside, Inside, Last. For example, with ((a + b)(c + d)), do:
Then, add all the results together!
Box Method: Draw a grid. Write the terms of each polynomial along the top and side. Fill in each box with the products of the terms, and then add up the like terms.
Using these methods can really help make multiplying polynomials much simpler!
Multiplying polynomials can be easier if you remember a few helpful methods:
Distributive Property: This means you can multiply every part of one polynomial by every part of the other. For example, if you want to multiply ((2x + 3)(x + 4)), you do it like this:
Now, put all the results together: (2x^2 + 11x + 12).
FOIL Method: This is a special way to multiply two binomials (two-term expressions). Just remember: First, Outside, Inside, Last. For example, with ((a + b)(c + d)), do:
Then, add all the results together!
Box Method: Draw a grid. Write the terms of each polynomial along the top and side. Fill in each box with the products of the terms, and then add up the like terms.
Using these methods can really help make multiplying polynomials much simpler!