<PRE><B>Question 1206980</B>
&lt;br&gt;
{{{6x^2-13x+5}}}&lt;br&gt;
All of the answer choices produce the correct quadratic term in the product: {{{(3x)(2x)=6x^2}}}.&lt;br&gt;
The constant term is positive; that means the signs in the two factors are the same -- both positive of both negative.&lt;br&gt;
The linear term is negative; that means the signs in both factors must be negative.&lt;br&gt;
So we need the signs in both factors to be negative; the answer is either choice B or choice C.&lt;br&gt;
To determine which is correct, perform the multiplication in each of those choices to find which one produces the correct linear term in the product.&lt;br&gt;
Choice B: {{{(3x-5)(2x-1)}}}
The linear term in the product is {{{(-5)(2)+(-1)(3)=-10-3=-13}}}
The linear term in the product is correct.&lt;br&gt;
ANSWER: B&lt;br&gt;
We don&#39;t need to look at answer choice C, because choice B is correct.  But observe that the linear term in the product with choice C is {{{(-1)(2)+(-5)(3)=-2-15=-17}}}, which is not correct.&lt;br&gt;
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