Use synthetic division to determine the remainder when 3x 3 − 2x 2 + x − 1 is divided by x − 1.
1 answer:
Answer:
1
Step-by-step explanation:
The synthetic division tableau and instructions for its use are shown in the attachment. The number at top left (1) is the zero of the divisor, the opposite of the constant -1.
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<em>Additional comment</em>
Essentially, you're evaluating the function for x=1. The synthetic division is a long way to get the sum of coefficients, which is what the function value is when x=1.
3 -2 +1 -1 = 1
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(You go from left to right)
(Dividend is 931, divisor is 7)
Step 1: Look for a number smaller than 9 that is divisible by 7. 7 is the only one which is smaller than 9 and is divisible by 7. Now that you know 7*1=7, you put 1 above 931 (Dividend)
Step 2: You subtract that number from the number in tens place. And bring the leftover down.
Step 3: You repeat Step 1 and 2 until either you get a remainder of 0 or the remainder in smaller than the divisor (in this case 7)
(Therefore 931/7=133, quotient=133, remainder=0)
^Hope this helps.
(Dividend is 931, divisor is 7)
Step 1: Look for a number smaller than 9 that is divisible by 7. 7 is the only one which is smaller than 9 and is divisible by 7. Now that you know 7*1=7, you put 1 above 931 (Dividend)
Step 2: You subtract that number from the number in tens place. And bring the leftover down.
Step 3: You repeat Step 1 and 2 until either you get a remainder of 0 or the remainder in smaller than the divisor (in this case 7)
(Therefore 931/7=133, quotient=133, remainder=0)
^Hope this helps.