For each polynomial, determine the degree and write the polynomial in descending order. a. –4x^2 – 12 + 11x^4 b. 2x^5 + 14 – 3x^4 + 7x + 3x^3

A. 11x4−4x2−12

B. 2x5−3x4+3x3+7x+14

Step-by-step explanation:

A) Degree: 4

Descending order: 11x^4 - 4x^2 - 12

B) Degree: 5

Descending order: 2x^5 - 3x^4 + 3x^3 + 7x + 14

Step-by-step explanation:

Let's start with A. In descending order, the exponents of the polynomial go down with each term. The term with the largest exponent is 11x^4, so this goes first. Next is -4x^2, so this goes 2nd. Last is -12. So, we have 11x^4 - 4x^2 - 12. To find the degree, it's just the largest exponent, so it is 4.

Now for B. The largest exponent is 5, so the degree is 5, and that term is 2x^5, so this will go first. Keep on looking for the next highest exponent untill you get down to 14, so the answer is 2x^5 - 3x^4 + 3x^3 + 7x + 14.

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.