How Do You Multiply Polynomials With Exponents On A Worksheet?

If you're stuck on a multiplication of exponents problem on a math worksheet, that's no surprise. The laws of multiplying exponents can be a challenge; they are quite different from the regular law of multiplication. Throw in a polynomial (a multiple-part equation with powers and one or more variables) into the pot, and the challenge can be quite overwhelming.

The solution is to break the polynomial multiplication problem into steps and work one part of the problem at a time. Determine which bases are the same in your problem. The base is the bottom part of an expression (it can be a number or a variable) that is raised to a power.

For example, in x^2, x is the base, and in 3^2, 3 is the base. Add the exponents together for all similar base numbers. For example: x^2 * x^4 = x^(2+4)=x^6.

Solve the numerical parts of the equation that do not have similar bases. For example: 2^3 + 4^2 = 8 + 16 = 24. Leave any other variables in their original form.

For example: x^2 + y^2 cannot be ... more.

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