How do you factor $x^{2} + 13 x + 42$ $x^2 + 13x + 42$ ?

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How do you factor $x^{2} + 13 x + 42$ $x^2 + 13x + 42$ ?

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Answer 1 · 2016-07-23T13:51:24

$(x + 6) (x + 7)$ $(x+6)(x+7)$

Explanation:

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:
$1 \times 42 sum is 43$ $1xx42 " sum is" 43$
$2 \times 21 sum is 23$ $2xx21 " sum is" 23$
$3 \times 14 sum is 17$ $3xx14 " sum is" 17$
$6 \times 7 sum is 13 \Rightarrow these are the factors we want$ $6xx7 " sum is" 13 rArr " these are the factors we want"$

$(x + 6) (x + 7)$ $(x+6)(x+7)$

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How do you factor $x^{2} + 13 x + 42$ $x^2 + 13x + 42$ ?

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How do you factor $x^{2} + 13 x + 42$ $x^2 + 13x + 42$ ?