This Math quiz is called 'Pre-Algebra - Monomials and Polynomials: Multiplying' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.
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As you have previous learned, a monomial is one number that stands on its own and a polynomial is two or more monomial numbers that are linked together in an equation by an addition sign (+), subtraction sign (-) or a multiplication sign (x). For example: 3x2 ● 5x5. The “●” symbol will be used here in place of the normal “x” used for multiplication so as to not confuse “x” with “x” in algebra problems.
When multiplying monomials, any exponents are added together. So in the example 3x2 ● 5x5, “2” and “5” will be added and the equations will then look like:
3x2 ● 5x5
3 ● 5 = 15x7
When multiplying polynomials, any exponents are added. Let’s look at the following example: (3x3)(4x4). [Note: This is a polynomial. When the “●” is replaced with parentheses(), the numbered problem becomes a polynomial and the parentheses indicate that we will be multiplying the two monomial numbers.] This problem is worked as follows to find the solution.
3 ● 4 = 12
x3 + x4 = x7
Now let’s look at the next example of 2x(3x + 7) and see how to find the solution.
2x(3x + 7)
(2x)(3x) + (2x)(7)
6x2 + 14x