Question

x – 1 is a factor of 8x² – 7x + m; the value of m is ______.

Options

• –1

• 1

• –2

• 2

Answer 1

x – 1 is a factor of 8x² – 7x + m; the value of m is –1.

Explanation:

We know that,

If x – a is a factor of f(x)

Then f(a) = 0

Let f(x) = 8x² – 7x + m

Since x – 1 is a factor of f(x)

Then f(1) = 0

`\implies` 8 × 1² – 7 × 1 + m = 0

`\implies` 8 – 7 + m = 0

`\implies` 1 + m = 0

`\implies` m = –1