Suppose we divide a polynomial by (2 − 5), and obtain the quotient 7X^3 − 3X^2 + 8X + 1 and the remainder −37. Find the original polynomial that was divided (i.e. the dividend).

Step-by-step explanation:

The null hypothesis is the hypothesis that is assumed to be true. It is an expression that is the opposite of what the researcher predicts.

The alternative hypothesis what the researcher expects or predicts. It is the statement that is believed to be true if the null hypothesis is rejected.

From the given situation,

The mean number of pounds of fruit on this plot of land with the old fertilizer was 416 pounds. This is the null hypothesis.

H0 : µ = 416

Agriculture scientists believe that the new fertilizer may decrease the yield. This is the alternative hypothesis.

H0 : µ < 416