Question

6 Which expression is equivalent to 2x2 + 7x +4?

Answer 1

Option J is correct.

Step-by-step explanation:

We need to find the expression equivalent to $2x^2 + 7x +4$

Finding the equivalent expression:

$2x^2 + 7x +4$

We check all the expressions given:

Option F: (2x-1)(x+4)

Multiplying both terms:

$2x(x+4)-1(x+4)\\=2x^2+8x-x-4\\=2x^2+7x-4$

This expression is not equivalent to $2x^2 + 7x +4$, So, Option F is incorrect.

Option G: (2x+1)(x-4)

Multiplying both terms:

$2x(x-4)+1(x-4)\\=2x^2-8x+x-4\\=2x^2-7x-4$

This expression is not equivalent to $2x^2 + 7x +4$, So, Option G is incorrect.

Option H: (2x+1)(x+4)

Multiplying both terms:

$2x(x+4)+1(x+4)\\=2x^2+8x+x+4\\=2x^2+9x+4$

This expression is not equivalent to $2x^2 + 7x +4$, So, Option H is incorrect.

Option J: None of these

So, Option J is correct.

Keywords: Solving Quadratic Equation

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