Answered

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

A(3x^2 +2)(5x+3)
Bx(3x+2)(5x+3)
Cx^2(3x+2)(5x+3)
Dx(5x+2)(3x+3)
EPrime

I chose E) Prime.


2) 2x^2 - 14x - 6x + 42

A2(x+7)(x+3)
B(x+7)(2x-6)
C2(x-7)(x-3)
D(x-7)(x-3)
EPrime

I know that this is 2x^2 - 20 + 42 when you combine the 14x and 6x so I chose answer E) Prime but I am not sure for this one.

Verified Answer :

Panoyin

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

jmevans25

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

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