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Polynomials Exercises

Adding and Subtracting Polynomials

Our polynomial calisthenics begin today with adding and subtracting. Like any exercise, we need to do it correctly for it to help. Thankfully, our polynomial friends promise to share their little...

Multiplying Polynomials

Our polynomial friends are so excited. They have a few more tricks up their tiny little sleeves. Before we can head on up Polynomial Mountain, we need to use these tricks to master the art of mu...

The Remainder Theorem

We just started hiking up Polynomial Mountain, and we've already found it. The Remainder Theorem.No worries—we know its name sounds scary. We hear "remainder" and think "division" and shudder,...

Finding Factors and Roots of Polynomials

All right, we've trekked a little further up Polynomial Mountain and have come to another impasse. Now we've gotta find factors and roots of polynomials.Hey, our polynomial buddies have caught up...

Using Roots to Construct Rough Graphs of Polynomials

We're trekking right up Polynomial Mountain with our guides, the polynomials. What are those crazy little guys doing now? It looks like they're all drawing squiggly lines in the sand.Wait. Are th...

Perfect Square Trinomials and the Difference Between Two Squares

Binomials, Trinomials, and Squares, Oh MyKeep your eyes on the trail up Polynomial Mountain. Just ahead we can see some binomials that have been squared.Our polynomial tour guide tells us that on...

Sum and Difference of Cubes

The air is getting thinner, so we must be near the peak of Polynomial Mountain. There are an unusual number of cubed terms around here. Two of them are getting rather close to each other. Here's...

Pascal's Triangle and The Binomial Theorem

Good job, mathronaut! We're nearly to the pinnacle of Polynomial Mountain. At the top we'll plant our Shmoop flag high, snap a few photos to make the folks back home jealous, and find Pascal's Tr...

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