felizg2002p4j0zf
felizg2002p4j0zf felizg2002p4j0zf
  • 22-02-2018
  • Mathematics
contestada

Find k so that 25x^2+40x+k is the square of a binomial

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jmatthews7157
jmatthews7157 jmatthews7157
  • 02-03-2018
To do this, the trinomial must be a perfect square trinomial. This means that the binomial must repeat itself exactly to FOIL out to the trinomial.
(5x+ )(5x+ )
The blanks must multiply to equal k and add together to equal 40 when multiplied by 5x.
(5x+4)(5x+4) = (5x+4)^2
Applying the FOIL method to the perfect square binomial shows that k=16
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