New SAT Math - Calculator : Polynomials and Quadratics
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Example Question #11 : Working With Complex Polynomials
In order to find the difference of two polynomials, first identify like terms. The like terms in these polynomials are the squared variable, the single variable, and the constant terms.
Remember, distribute the negative sign to all terms within the parentheses.
Solve.
The correct answer is 
Example Question #12 : Working With Complex Polynomials
If 
To find the product of two polynomials, first set up the operation.
Now, multiply each term in the first polynomial by each term in the second polynomial. One way to remember to work through this type of multiplication is by using the acronym FOIL: First, Outside, Inside, Last. You multiply the first numbers in each parenthetical with one another, then the numbers on the outside of the entire list (the first number in the first parenthetical and the last one in the second parenthetical), then the inside numbers (the two middle ones, the last number in the first parenthetical and the first number in the second parenthetical), and finally the last numbers in each parenthetical.
When exponential terms with the same bases are multiplied together, you add the exponents.
Combine like terms to arrive at the solution.
When the two polynomials are multiplied together, they equal 
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