Multiplying Polynomials.
Polynomials look like this.
To multiply polynomials:
-Multiply each term in one polynomial by one therm in the other polynomial.
-Add those answers together, and simplify if needed.
Look at the simplest cases first:
- 1 term x 1 term ( monomial times monomial )
- to multiply one term by another term, first multiply the constants, then multiply each variable together and combine the result.
-Multiply each term in one polynomial by one therm in the other polynomial.
-Add those answers together, and simplify if needed.
Look at the simplest cases first:
- 1 term x 1 term ( monomial times monomial )
- to multiply one term by another term, first multiply the constants, then multiply each variable together and combine the result.
Dividing Polynomials.
This is just a simplification problem, because there is only one term in the polynomial that you're dividing by. And, in this case, there is a common factor in the numerator (top) and denominator (bottom), so it's easy to reduce this fraction. There are two ways of proceeding. I can split the division into two fractions, each with only one term on top, and then reduce:
Or else I can factor out the common factor from the top and bottom, and then cancel off:
Either way, the answer is the same: x + 2
Again, I can solve this in either of two ways: by splitting up the sum and simplifying each fraction separately:
Or else by taking the common factor out front and canceling it off:
Either way, the answer is the same: 3x2 – 5x.