Question

1) 15x^3 + 19x^2 + 6x

Answer 1

Answer:

E Prime

Step-by-step explanation:

A) (3x^2 +2)(5x+3)

B) x(3x+2)(5x+3)

C) x^2(3x+2)(5x+3)

D) x(5x+2)(3x+3)

E) Prime

Answer 2

1.$15x^{3} + 19x^{2} + 6x$
   $x(15x^{2}) + x(19x) + x(6)$
   $x(15x^{2} + 19x + 6})$
   $x(15x^{2} + 9x + 10x + 6)$
   $x(3x(5x) + 3x(3) + 2(5x) + 2(3))$
   $x(3x(5x + 3) + 2(5x + 3))$
   $x(3x + 2)(5x + 3)$
   $The\ answer\ is\ B.$

2.$2x^{2} - 20x + 42$
   $2(x^{2}) - 2(10x) + 2(21)$
   $2(x^{2} - 10x + 21)$
   $2(x^{2} - 7x - 3x + 21)$
   $2(x(x) - x(7) - 3(x) + 3(7))$
   $2(x(x - 7) - 3(x - 7))$
   $2(x - 3)(x - 7)$
   $The\ answer\ is\ C.$