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use long division or synthetic division to find the quotient of :

Step-by-step explanation:

Since the divisor of is in the form of use what is called Synthetic Division. Remember, in this formula, −c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:

−1| 2 1 0 1

↓ −2 1 −1

__________

2 −1 1 0 →

You start by placing the c in the top left corner, then list all the coefficients of your dividend [2x³ + x² + 1]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than the leading coefficient of your dividend, so that 2 in your quotient can be a 2x², the −x follows right behind it, and bringing up the rear, 1, giving you the quotient of 2x² - x + 1.

I am joyous to assist you anytime.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)