## Barrelracing one year ago Molly is on a game show. To win \$1,000,000, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Molly's winning answer? Explain in complete sentences.

1. Barrelracing

@Michele_Laino

2. Michele_Laino

a polynomial function, of degree $$n$$, is given by the subsequent polynomial: $f\left( x \right) = {a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + ... + {a_2}{x^2} + {a_1}x + {a_0}$ for some coefficients $$a_0,a_1,a_2,...,a_n$$, being $$n$$ a natural number

3. Barrelracing

ok

4. Michele_Laino

in other words, a polynomial function can be created making multiplication between powers of the unknown $$x$$ with corresponding real coefficients, and then summing those products

5. Barrelracing

so what do i do? im confused. on how to find her winning answer

6. Michele_Laino

the key features are: 1) powers of the unknown $$x$$ using natural numbers as exponent 2) multiplication of each power, obtained in the preceding step, with a real coefficient 3) sum all of the so obtained terms (in steps #1, and #2)

7. Barrelracing

so thats part of the answer?

8. Michele_Laino

I think that it is the winning answer

9. Barrelracing

ok thank you

10. Michele_Laino

:)