Question

answer........................................

Answer 1

Answer:

Answer= B

Step-by-step explanation:

For the roots to be right, you will have answer zero if you sub them for x.

A.$x^{3} -9x^{2} -22x+24$

(we first try to sub -6 for x in the polynomial)

=$-6^{3} -9(-6^{2})-22(-6)+24$

= -384

(this is not equal to zero (-384≠0) so the first polynomial is wrong)

B.$x^{3} +x^{2} -26x+24$

(we do the same as above but in this polynomial)

=$-6^{3}+(-6^{2} )-26(-6)+24$

=0

(this is equal to zero but that does not mean it is right because all the roots need to equal zero when you sub them. So now we try 1 and 4)

For (x=1):

=$1^{3} +1^{2}-26(1)+24$

=0

(because this is zero we will complete and try the root 4)

For (x=4):

=$4^{3} +4^{2} -26(4)+24$

=0

(this is means that the answer is B because all the roots are equal to zero when you sub them for x)

EXTRA INFORMATION:

1. The answer is not C because it has different answer when you sub 4 for x - note that you need to try all roots, as 1 and -6 will equal to zero in this polynomial but that does not mean it is the right answer.
2. The answer is not D because it has different answer when you sub all roots - be aware of the signs because the real roots for this polynomial are -1 , -4 and 6 that means it will make you get a wrong answer by subbing the same roots but different signs, so make sure you watch out the negatives.