gary, Heather, and Irene want to find the zeros of the polynomial P(x). They evaluate the polynomial for different values and find: P(−1)=0 P(0)=1 P(2+3–√)=0 Each student interprets this information separately and presents his or her conclusions to the group. Gary concludes that since P(−1) and P(2+3–√) equal 0, 2 zeros of P(x) are −1 and 2+3–√. By the Irrational Root Theorem, 2−3–√ is also a zero of P(x). Heather concludes that since P(0)=1, 1 zero of P(x) is 1. There isn't enough information to determine any other zeros of P(x). Irene concludes that since P(−1) and P(2+3–√) equal 0, 2 zeros of P(x) are −1 and 2+3–√. There isn't enough information to determine any other zeros of P(x). Which statements correctly explain why each student is correct or incorrect?

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.

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°