Use finite differences to determine the degree of the polynomial function that fits the data. Then use technology to find the polynomial function. A table listing pairs of x and f of x values. First pair. 1 and negative 11. Second pair. 2 and negative 24. Third pair. 3 and negative 27. Fourth pair. 4 and negative 8. Fifth pair. 5 and 45. Sixth pair. 6 and 144. Seventh pair. 7 and 301. The degree of the polynomial function that fits the data is . The polynomial function is $f\left(x\right)=\ $ .