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N^2 + 16n+63 (factor)

User Gadgad
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1 Answer

12 votes

Step-by-step explanation: This trinomial is in a special form

that can be factored into the product of two binomials.

So setup 2 sets of parenthses.

The first term in each set is a factor of n²

and since n factors as n times n, we use an n.

For the second term, use factors of the last term that

add to the coefficient of the middle term.

The factors of 63 that add to 16 are 9 and 7.

So we have (n + 9)(n + 7) which is our answer.

User Raz Luvaton
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