SOLUTION: which of the following is a linear factor of 2x(with an exponent of 2)-x-6? A.2x-3 b.x+2 c.2x-3 d.x-3

Algebra ->  Linear-equations -> SOLUTION: which of the following is a linear factor of 2x(with an exponent of 2)-x-6? A.2x-3 b.x+2 c.2x-3 d.x-3      Log On


   

Question 86480: which of the following is a linear factor of 2x(with an exponent of 2)-x-6?
A.2x-3
b.x+2
c.2x-3
d.x-3
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The given expression is:

2x%5E2+-+x+-+6

We will factorize the given expression: This can be written as:

2x%5E2+%2B+2x+-+3x+-+6

Taking common factors between the first two terms and the next two terms, we get:

2x(x + 2) -3(x + 2)

==> (x + 2)(2x - 3)

Hence, the solution..

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