Gretchen and ezia received equal scores on a test made up of multiple choice questions and an essay. gretchen got 18 multiple choice questions correct and received 19 points for her essay. ezia got 15 multiple choice questions correct and received 31 points for her essay.

how many points was each multiple choice question worth?

Each question had 4 points.

Step-by-step explanation:

Let the questions be x points each. As both Gretchen and Ezia received equal scores, we can write the equation as:

18x+19=15x+31   (Let the questions be x points each)

Solving for x;

=>

Dividing both sides by 3;

x = 4

Hence, each question had 4 points.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."