Use the factor theorem to determine whether the first polynomial is a factor of the second polynomial. x - 3; 2x2 - 4x + 30

  (x - 3) is NOT a factor of 2x² -4x +30

Step-by-step explanation:

The value of the function for x=3 is 2·3² -4·3 +30 = 36, not zero. That is, x=3 is not a root, so the binomial (x - 3) is not a factor of the quadratic.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.