Question

The roots of a quadratic equation are 6 and 3/4. If one of the two factors of the equation is x – 6, what is the second factor?

A. 3x - 4
B. 3x + 4
C. 4x - 3
D. 4x + 3​

Answer 1

Answer:

  C.  4x - 3

Step-by-step explanation:

The factor could be (x -3/4). Apparently, you're expected to show the factor as 4 times this, or ...

  4x -3 . . . . . matches choice C

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If r is a root, then (x -r) is a factor. As here, factors containing fractional roots can be multiplied by the denominator to make the coefficients be integers.