Question

Suppose the roots of a polynomial are 3 4 , − 7 8 , − 3 8 , and − 1 9 . Which choice is a factor of the polynomial?

Answer 1

Answer:

x+7/8

Step-by-step explanation:

A polynomial has roots at the points where the curve cuts the x axis.

This can also be said as values of x for which the polynomial is 0

Given that when x =a is root means, we have x-a is the factor.

Based on the above, we find when 3/4, -7/8, -3/8 and -1/9 are roots

factors are x-3/4, x+7/8, x+3/8, x+1/9

Hence answer is

B) (x + 3/8)

The other options do not match with the factors only option Bmatches.

Answer 2

Answer: The factor of the polynomial is $(x+\frac{3}{8})$

Step-by-step explanation:

We are given:

4 roots of the polynomial

Root 1: $\frac{3}{4}$

The factor for this root becomes: $(x-\frac{3}{4})$

Root 2: $\frac{-7}{8}$

The factor for this root becomes: $(x+\frac{7}{8})$

Root 3: $\frac{-3}{8}$

The factor for this root becomes: $(x+\frac{3}{8})$

Root 4: $\frac{-1}{9}$

The factor for this root becomes: $(x+\frac{1}{9})$

Hence, the factor of the polynomial is $(x+\frac{3}{8})$