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True [87]
3 years ago
15

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

Mathematics
1 answer:
dlinn [17]3 years ago
4 0

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

Learn more about Solving Quadratic Equation at:

  • brainly.com/question/10771256
  • brainly.com/question/1414350
  • brainly.com/question/2568692
  • brainly.com/question/1332667
  • brainly.com/question/1357167

#learnwithBrainly

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<h3>Which number could be added to both sides of this quadratic equation to complete the square?</h3>

The quadratic equations give in the task content is; 1=x²-3x. Hence, to express the equation by completing the square method; we have;

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So , then we would have

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