If 3x-5 is a factor of 6x^2 - 5x + k, find the value of k

Question

Mathematics

Mitchell Myers

16 May, 02:05

If 3x-5 is a factor of 6x^2 - 5x + k, find the value of k

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Answers (2)

Know the Answer?

Adalynn Simpson · Answer 1

Solve for k.

3x-5 = 6x^2-5x+k

I'll let you work out the math.

Finley Greene · Answer 2

Let's solve for k.

3x-5=6x^2-5x+k

Step 1: Flip the equation.

6x^2+k-5x=3x-5

Step 2: Add - 6x^2 to both sides.

6x^2+k-5x+-6x^2=3x-5+-6x^2

k-5x=-6x^2+3x-5

Step 3: Add 5x to both sides.

k-5x+5x=-6x^2+3x-5+5x

So, the answer is k=-6x^2+8x-5.