Question

If f(x) = 2x² – 5, then what is the
remainder when f(x) is divided by
x - 1?

Answer 1

-3

Explanation:

2x². 0. -5. : x. -1

2x². -2x. / 2x. 2

//. 2x. -5

//. 2x -2

//. //. -3

Answer 2

• The remainder is -3

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According to the remainder theorem, when you divide f(x) by (x - a) the remainder is f(a).

The remainder is:

• f(1) = 2×1² - 5 = 2 - 5 = - 3