The remainder when the polynomial f(x) = 3x³ - 4x² + 2x + 8 is divided by (x - 5) is constant an equal f(5).
Substitute x = 5 to the polynomial:
Answer: (3x³ - 4x² + 2x + 8) : (x - 5) = q(x) + 293.
Help me solve this math problem!
1 answer:
Answer:
4x + y = 32
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
First obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (7, 4) and (x₂, y₂ ) = (5, 12)
m = =
= - 4, thus
y = - 4x + c ← is the partial equation of the line
To find c substitute either of the 2 points into the partial equation.
Using (7, 4), then
4 = - 28 + c ⇒ c = 4 + 28 = 32
y = - 4x + 32 ← in slope- intercept form
Add 4x to both sides
4x + y = 32 ← in standard form
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