What is the quotient? x + 1)3x2 − 2x + 7


if you're trying to figure out how much each ounce cost it would be 0.20

cents each ounce

The answer would be c

The answer on edgen is B

Step-by-step explanation:

We are dividing 3x^2-2x+7 by (x+1).

According to the "Division algorithm":


where P(x) is the dividend polynomial, D(x) is the divisor polynomial, Q(x) is the quotient polynomial and R(x) the remainder which must be of smaller degree than the divisor.

3x^2-2x+7=(x + 1)Q(x)+c

R(x)=c, a constant, because the divisor is a linear.

also notice that Q(x) must be a linear of the form 3x+a:

3x^2-2x+7=(x + 1)(3x+a)+c\\\\3x^2-2x+7=3x^2+ax+3x+a+c\\\\3x^2-2x+7=3x^2+(a+3)x+(a+c)

comparing the coefficients, we have:

-2=a+3                and           7=a+c

a=-5,           then     7=-5+c, so c=-12

the quotient is 3x-5

Do you know the answer?

Other questions on the subject: Mathematics

Mathematics, 21.06.2019, CAPEPOPPA
hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!...Read More
1 more answers
1st GraphStep-by-step explanation:Parent Graph of Exponentials: f(x) = a(b)^x + dSince we are only modifying the base exponent and d (vertical movement), we should see that if we a...Read More
1 more answers