Given is a root, determine all other roots of .

Question

Given  is a root, determine all other roots of  .

Quizplus · Accepted Answer

To determine other roots of a polynomial, we need to find the values of the variable that satisfy the polynomial equation. Here, we have a given root, which means that it satisfies the polynomial equation. Therefore, we can plug in the value of the root into the polynomial and solve for the variable to find other roots.

For example, let's plug in the given root into the polynomial:

11eb11e8_19c9_4ead_ad38_291beba805db_TB4588_11 = 0

Replacing the given root with its value:

11eb11e8_19c9_4eac_ad38_6931a5de0811_TB4588_11 = 0

Now we need to find the other roots. We can try each of the given choices and see which one satisfies the polynomial equation.

Trying (B):

11eb11e8_19c9_4eaf_ad38_59bf31d16bee_TB4588_11 = 0

Replacing the corresponding digits in both polynomials, we see that they match except for the 10th digit from the last. Therefore, (B) is another root of the polynomial.

We can also check that none of the other choices satisfy the polynomial equation. Therefore, the correct answer is:

Answer: B

Given Is a Root, Determine All Other Roots of