Question

What is a polynomial with a single root at x = 5 and a triple root at x = -2
write in standard form, anxn + ... + a1x + a0

Answer 1

So, to solve this, you want to set it all equal to y for ex. the first one would be (x-5) and since its a single root, you don't put and power to it, and then the next one would be (x+2) raised to the third power.

Answer 2

You then distribute these two and you come up with the proper polynomial

Answer 3

okay

Answer 4

so i have x^2-2x-5x+10 but idk what to do with the power of 3

Answer 5

What do you mean?

Answer 6

Here, example (x-5)(x+2)^3. When you distribute it all, you get x^4+x^3-18x^2-52x-40

Answer 7

okay i didnt distribute it all out i guess