Solved

Determine the Constant That Should Be Added to the Binomial x225xx ^ { 2 } - \frac { 2 } { 5 } x

Question 72

Multiple Choice

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write
and factor the trinomial.
- x225xx ^ { 2 } - \frac { 2 } { 5 } x


A) 225;x225x+225=(x15) 2\frac { 2 } { 25 } ; x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 2 } { 25 } = \left( x - \frac { 1 } { 5 } \right) ^ { 2 }
B) 125;x225x+125=(x15) 2\frac { 1 } { 25 } ; x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 1 } { 25 } = \left( x - \frac { 1 } { 5 } \right) ^ { 2 }
C) 125;x225x+125=(x+15) 2\frac { 1 } { 25 } ; x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 1 } { 25 } = \left( x + \frac { 1 } { 5 } \right) ^ { 2 }
D) 425;x225x+425=(x25) 2\frac { 4 } { 25 } ; x ^ { 2 } - \frac { 2 } { 5 } x + \frac { 4 } { 25 } = \left( x - \frac { 2 } { 5 } \right) ^ { 2 }

Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions