<h3>
Answer:</h3>
<em>It would be </em><u><em>Choice A</em></u><em>, or </em><u><em>f(x) = (3x-5)(2x-1)</em></u>
<h3>
Step-by-step explanation:</h3>
You would need to factor out the equation to do this. Firstly, ask yourself which two numbers add up to -13 and multiply to 30?
<u>You would get the numbers -3 and -30.</u>
With this, Split -13x in the equation f(x)=6x² -13x+5 as the sum of -3x and -10x.
f(x)=6x² -13x+5 ---> 6x²-3x -10x +5
Next, factor out common terms in the first two terms, then in the last two terms. Do this by finding the greatest common factor or (GCF) in each term pair.
6x²-3x -10x +5 ---> 3x(2x−1) −5(2x−1)
Then, factor out the the common term 2x-1.
3x(2x−1) −5(2x−1) ---> (2x-1)(3x-5)
(2x-1)(3x-5) and (3x-5)(2x-1) are both answers to the equation, it doesn't matter which order the term pairs are in.
<em>***You can have the term pairs in either order due to the communicative property. </em>
<u><em>When checking your answers, this would be</em></u><u><em> Choice A</em></u><u><em> as your final answer</em></u>
<u><em>f(x)= (3x-5)(2x-1)</em></u><u><em>.</em></u>
