Question #7e5f1

1 Answer
Victor
Dec 2, 2017

#(u-2)(u-3)#

Explanation:

So basically, to factor equations in the shape of #x^2-bx+C#, we can use the method of inspection (one of the many ways to factor).

For inspection to work, we need to find two integers which have a product (multiplication) equal to c and a sum (addition) equal to b. If no two such integers exist, then the polynomial cannot be factored.

So let’s factor #u^2-5u+6#

We need two integers which gives us a product equal to 6 and a sum equal to -5.

-2 and -3 are two integers, proof:

#-2 * -3 = 6#

#(-2)+(-3)=-5#

Knowing these numbers, we can find the factored form, which is #(u-2)(u-3)#

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