If a polynomial is divided by (x-a) and the remainder equals zero then (x - a) is a factor of the polynomial. true or false

Question

Mathematics

Maddison

30 April, 08:19

If a polynomial is divided by (x-a) and the remainder equals zero then (x - a) is a factor of the polynomial. true or false

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Santos Moody · Answer 1

I believe the correct answer is true. If a polynomial is divided by (x-a) and the remainder equals zero then (x - a) is a factor of the polynomial. This is called the factor theorem. It is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem.