Me! will choose brainliest (:
is the given linear expression a factor of the polynomial? show your work.
g(x)=3x^3+2x^2-17x+6; x+3

Long way: try to divide. But we are lazy, so it's no go. Option number one: all rational numbers that could give you a division can be taken from "THE List": you build it by taking the constant term, that is 6, and all its divisors (1,2,3,6), the highest term coefficent, 3 in this case, its divisors (1,3) , and you divide every one in the first list by the second, and adding a in front of them. Our list is: .

Since -3 is part of THE List, it might be a divisor - that system would garantee you that, for example, x-4 would NOT be a factor.

Cheap way. if (x+3) is a factor of g(x), then g(-3) = 0. Let's replace.

Since we didn't get zero, is not a factor of g(x)

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )

well, if you graph the linear equation using intercepts or other methods, and the line is straight, then the equation is linear