Question

Find the remainder when f(x)=2x3-5x2+8x+4 is divided by 2x-1 and use it to determine if 2x-1 is a factor

Answer 1

The remainder of f(x) = 7

Step-by-step explanation:

f(x) = $2x^{3} - 5x^{2} +8x + 4$

Here 2x - 1 is a factor.

We will apply Factor theorem ( states that if (x-a) is a factor of f(x) then f(a) is the remainder)

Putting x = 1/2 in f(x) we will get the remainder.

f(1/2) = 2(1/2)^3 -5(1/2)^2 +8(1/2) +4

=7

Answer 2

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Hey love! <3

Answer:

The answer is 7; is not a factor; or C on your test.

Step-by-step explanation:

Let's start!

2x³ - x² - 4x² + 2x + 6x - 3 + 7

x²(2x-1) - 2x(2x-1) + 3(2x-1) + 7

So if 7 is the remainder of the problem then it is not a factor!

Hope this helped! Be sure to drop a brainliest (no pressure honey!) ⊂◉‿◉つ Sincerely, Kelsey from Brainly.

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