factor the trinomial 4x^2+19x-5

Question

which of the following binomials is a factor in the trinomial

a.2x-5

b.x+5

c.x-5

d.2x+5

Answer 1

The trinomial is 4x² + 19x - 5

= 4x² + 20x - x - 5

= 4x(x + 5) - 1(x + 5)

= (x + 5)(4x  - 1)

4x² + 19x - 5 = (x + 5)(4x  - 1)

Therfore, x + 5 is one of the factor of the trinomial.

Option b is correct choice.