- #1

Loststudent22

- 100

- 15

Member warned that the homework template must be used

The graph below shows a portion of the curve defined by the quartic polynomial P(x) = x^4 + ax^3 + bx^2 + cx + d. Which of the following is the smallest?

https://imgur.com/a/1VuGSiA

(A) P(-1) (B) The product of the zeros of P (C) The product of the non-real zeros of P (D) The sum of the coefficients of P (E) The sum of the real zeros of P

I know that P(-1) = 1-a+b-c+d Product of zeroes is d. Real zeroes are around 1.7 and 3.85, so product of non-reals is d/(1.7*3.85) Sum of the coefficients is 1+a+b+c+d. Sum of the zeros is -a and that P(0)=d and P(1)=1+a+b+c+d. How am I supposed to tell which is smallest with this information though?

https://imgur.com/a/1VuGSiA

(A) P(-1) (B) The product of the zeros of P (C) The product of the non-real zeros of P (D) The sum of the coefficients of P (E) The sum of the real zeros of P

I know that P(-1) = 1-a+b-c+d Product of zeroes is d. Real zeroes are around 1.7 and 3.85, so product of non-reals is d/(1.7*3.85) Sum of the coefficients is 1+a+b+c+d. Sum of the zeros is -a and that P(0)=d and P(1)=1+a+b+c+d. How am I supposed to tell which is smallest with this information though?