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A student factors 15c2 + c – 28 to the following.

(c + 2)(15c – 14)

Which statement about (c + 2)(15c – 14) is true?
The expression is equivalent, and it is completely factored.
The expression is equivalent, but it is not completely factored.
The expression is not equivalent, but it is completely factored.
The expression is not equivalent, and it is not completely factored.

Respuesta :

Answer:

C

Step-by-step explanation:

when we factored the expression 15c2 + c – 28

= 15c2 + 21c-20c – 28

=3c(5c+7c)-4(5c+7c)

=(3c-4)(5c+7c)

hence the given expression is not equivalent, but it is completely factored.

vijayhalder031

The correct answer is The expression is not equivalent, but it is completely factored.

What is factorization?

Factorization is the method of expressing an algebraic expression as a product of two or more expressions.

How to Factorize the quadratic equation?

  • For factorizing the quadratic equation use splitting the middle term.
  • Take the product of the coefficient of the first term and last term of the equation.
  • After getting the factor  split the middle term in such the way that the factors of the two terms after splitting the middle term will be equal to the product
  • Separate the equation in two terms and then find out the common factors.                            

Now solving the product of (c + 2)(15c – 14)

c(15c-14)+2(15c-14)

We get ,

[tex]15c^{2} -14c+30c-28[/tex]

So ,  We can say that the expression is not equivalent, but it is completely factored.

Learn more about Factorization below

https://brainly.com/question/11434122

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