State if the given binomial is a factor of the given polynomial. (2x^3-2x^2+3x-2)/(x-2)
1 answer:
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Answer:
A
Step-by-step explanation:
Calculate the slope of the given points with the point (- 2, 5 )
If the slope is - then the point is on the line
Calculate slope m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)
m = =
= -
← point (6, - 1) is on the line
Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)
m = =
← point (2, 8) is not on the line
Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)
m = =
=
← point (- 5, 1) is not on the line
Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)
m = = -
← point (1, 1) is not on the line
Thus the point on the line is (6, - 1 ) → A