Use any method to factor $2 n ^ { 2 } + 5 n - 25$
A) $( 2 n + 5 ) ( n - 5 )$
B) $( 2 n - 5 ) ( n + 5 )$
C) $( 2 n - 5 ) ( n - 5 )$
D) $( 2 n - 25 ) ( n + 1 )$
E) $( 2 n + 25 ) ( n - 1 )$

Question

Quizplus · Accepted Answer

To factor $2n^2 + 5n - 25$, we look for factors of $2n^2$ and $-25$ that when multiplied and added give a middle term of $5n$. The correct factorization is $(2n - 5)(n + 5)$, as $2n \times n = 2n^2$, $-5 \times 5 = -25$, and $2n \times 5 + n \times -5 = 10n - 5n = 5n$.

Use Any Method to Factor 2n2+5n−252 n ^ { 2 } + 5 n - 252n2+5n−25

Use Any Method to Factor $2 n ^ { 2 } + 5 n - 25$