Question

A student factors 10x^2+3x-27 to the following. (2x-3)(5x+9)

Answer 1

Answer:

A

Step-by-step explanation:

The form (2x-3)(5x+9) is fully factored. To determine if it is equivalent, multiply the parenthesis out.

(2x-3)(5x+9) = 10x² - 15x + 18x - 27 = 10x² + 3x - 27

Yes this is equivalent.

The solution is A.

Answer 2

Answer:

Option A - The expression is equivalent, but it is completely factored

Step-by-step explanation:

Given : A student factors $10x^2+3x-27$ to the following (2x-3)(5x+9).

To find : Which statement is true about (2x-3)(5x+9) is true?

Solution :

First we are factoring the given quadratic equation,

$10x^2+3x-27=0$

Applying middle term split,

$10x^2+18x-15x-27=0$

$2x(5x+9)-3(5x+9)=0$

$(2x-3)(5x+9)=0$

We have seen that the expression is completely factored and equivalent to given factor.

Therefore,Option A is correct.

The expression is equivalent, but it is completely factored.