Question

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.

Answer 1

@Michele_Laino

Answer 2

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

Answer 3

ok

Answer 4

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

Answer 5

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

Answer 6

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)

Answer 7

so thats part of the answer?

Answer 8

I think that it is the winning answer

Answer 9

ok thank you

Answer 10

:)