Explanation for Question 12 From the Math (No Calc) Section on the Official Sat Practice Test 6
Question 12 asks us, which of the following is equivalent to four X squared 2 plus six X divided by four X plus two. 3 So we can see here that we're going to be using polynomial long division. 4 Like I've written out for us right here. So we've got the four X 5 squared plus six X divided by four X plus two now to do 6 polynomial long division. What's your first going to do is divide this first term 7 of the dividends. So four X squared by the first term of this divisor. 8 So four X plus two, or we're going to divide it by four X 9 since that's the first term. So four X squared divided by four X 10 is going to be just X. 11 Now we're going to multiply this term by the divisor and then subtract 12 that from this term right here. 13 So four X times X is going to be four X squared and then 14 two times X is going to be two X. 15 So we've got four X squared minus four X squared is going to be 16 zero and six X minus two. 17 X is going to be equal to four X, 18 three positive for X. 19 Now we're going to do the same thing as we did before. So we're 20 going to divide the first term leftover in our quotient. 21 So four X by the first term in our divisor, 22 which is also four X. So that leaves us with just plus one and 23 then going to do the same thing. We're going to multiply out this plus 24 one by both of these terms right here, 25 and then subtract them and see what we're left with. So one times four 26 X plus two, is this going to be four X plus two? 27 And we're going to subt...