According to the synthetic division below, which of the following statements are true? check all that apply.

-7 ) 2 10 -20
-14 28

2 -4 8

a. (x+7) is a factor of 2x^2+10x-20
b. (x-7) is a factor of 2x^2+10x-20
c. when x=7, 2x^2+10x-20=8
d. when x=-7, 2x^2+10x-20=8
e. when (2x^2+10x-20) is divided by (x+7), the remainder is 8
f. when (2x^2+10x-20) is divided by (x-7), the remainder is 8

!

When and If is divided by , the remainder is 12. Option (D) is correct and option (E) is correct.

Further Explanation:

Explanation:

If division of a polynomial by a binomial result in a remainder of zero means that the binomial is a factor of polynomial.

The synthetic division can be expressed as follows,

The last entry of the synthetic division tells us about remainder and the last entry of the synthetic division is . Therefore, the remainder of the synthetic division is .

When and If is divided by , the remainder is 12. Option (D) is correct and option (E) is correct.

Option (A) is not correct.

Option (B) is not correct.

Option (C) is not correct.

Option (F) is not correct.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Synthetic Division

Keywords: division, factor (x+7), remainder 8, statements, true, apply, divided, binomial synthetic division, long division method, coefficients, quotients, remainders, numerator, denominator, polynomial, zeros, degree.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

the anwser is d) 75°

step-by-step explanation: