What is the expression [tex]x^2+14x+40[/tex] in factored form?
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Answer:
b
Step-by-step explanation:
since x is squared, you would put that into both parenthesis, so you should have (x)(x) right now
then you need to find factors of 40 that add to 14
factors of 40: 40 and 1, 20, and 2, 4 and 10, 5 and 8
4 and 10 multiply to equal 40 and add to equal 14
put each factor into a parenthesis
so now you should have (x+10) (x+4)
side note: if the number 40 was negative then one of the factors would have to be negative, this would result in (x+10) (x-4) or (x-10) (x+4)