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.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

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