Respuesta :

It is not a factor of x-5.Substitute 5 in the palce of x.Since the value is not equal to x,it is not a factor of x-5.

The expression x-5 is not a factor of the polynomial expression 2x^3-4x^2-7x-10

How to determine if x-5 is a factor?

The polynomial expression is given as: 2x^3-4x^2-7x-10

The quotient is given as: x - 5

Set the quotient to 0

x - 5 = 0

Add 5 to both sides

x = 5

Substitute x = 5 in 2x^3-4x^2-7x-10

2(5)^3 - 4(5)^2 -7(5) - 10

Evaluate

105

Since the result of 2x^3-4x^2-7x-10 when x = 0 is not 0.

Then x-5 is not a factor of 2x^3-4x^2-7x-10

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