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Which method do you use to factor #3x(x-1)+4(x-1) #?

Answer 1

Eva Abramson

I'm not sure if this is a method, but Distributive Property of multiplication over addition is involved.

For easier visualization, let's treat #x - 1# as one variable, say #y#

#y = x - 1#

#3x(x - 1) + 4(x - 1)#

#=> 3x(y) + 4(y)#

#=> (3x + 4)(y)#

#=> (3x + 4)(x - 1)#

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Answer 2

Ethan Adkins

To factor 3x(x-1) + 4(x-1), you use the distributive property to factor out the common factor (x-1). This results in (3x + 4)(x - 1).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.