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:
Option A - The expression is equivalent, but it is completely factored
Step-by-step explanation:
Given : A student factors [tex]10x^2+3x-27[/tex] 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,
[tex]10x^2+3x-27=0[/tex]
Applying middle term split,
[tex]10x^2+18x-15x-27=0[/tex]
[tex]2x(5x+9)-3(5x+9)=0[/tex]
[tex](2x-3)(5x+9)=0[/tex]
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.
