Question

2x3 + 5x2 + 6x + 15
Which of the following is equivalent to the expression above?
A
(x + 3)(2x2 + 5)
B
(x + 5)(2x2 + 3)
с
(x2 + 3)(2x + 5)
D
(x2 + 5)(2x + 3)

Answer 1

Answer:

C

Step-by-step explanation:

Distribute x^2 to 2x and 5, you’ll get 2x^3+5x^2.

The distribute 3 to 2x and 5, you’ll get 6x+15.

You’ll get what the question is asking for.

Answer 2

We need to find the equivalent expression of the given expression.

The required expression is $(x^2+3)(2x+5)$.

The given expression is $2x^3+5x^2+6x+15$

Let us solve each option by using the distributive law

$(x+3)(2x^2+5)\\ =2x^3+5x+6x^2+15$

$(x+5)(2x^2+3)\\ =2x^3+3x+10x^2+15$

$(x^2+3)(2x+5)\\ =2x^3+5x^2+6x+15$

$(x^2+5)(2x+3)\\ =2x^3+3x^2+10x+15$

So, the only option matching with the given expression is C $(x^2+3)(2x+5)$.

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