How do you factor #x^2 + 13x + 42#?

Answer 1

#(x+6)(x+7)#

In trying to find the factors, we read from the right to the left.

Find factors of 42 which ADD (+) to give 13.

The + also tell us that both signs will be the SAME, they will both be + (because of +13)

There are several factor pairs of 42: #1xx42 " sum is" 43# #2xx21 " sum is" 23# #3xx14 " sum is" 17# #6xx7 " sum is" 13 rArr " these are the factors we want" #

#(x+6)(x+7)#

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Answer 2

Jace Anderson

To factor the quadratic expression ( x^2 + 13x + 42 ), you need to find two numbers that multiply to ( 42 ) and add up to ( 13 ). These numbers are ( 6 ) and ( 7 ). So, the factored form of ( x^2 + 13x + 42 ) is ( (x + 6)(x + 7) ).

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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.