How To Factor Quadratic Expressions: A Step-By-Step Guide | Math Tutorial

x²+10x+24

(x+4)(x+6)

To factor x²+10x+24, we need to find two numbers that multiply to give 24 and add to give 10. These numbers are 4 and 6.

Step 1: Write down the expression
x²+10x+24

Step 2: Find two numbers that multiply to give 24 and add to give 10
4 and 6

Step 3: Rewrite the expression using these two numbers
x²+4x+6x+24

Step 4: Group the first two terms and the last two terms
(x²+4x)+(6x+24)

Step 5: Factor out the greatest common factor from each group
x(x+4)+6(x+4)

Step 6: Notice that we now have a common factor of (x+4)
(x+4)(x+6)

So the factored form of x²+10x+24 is (x+4)(x+6).

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