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Answer :
The remainder is the number in the last column of the synthetic division, which is 7. the correct answer is option B. 7.
To find the remainder in the synthetic division problem 1|4 , 6 , -3, we perform the synthetic division as follows:
1 | 4 6 -3
|___
4 10 7
The remainder is the number in the last column of the synthetic division, which is 7.
So, the correct answer is option B. 7.
Synthetic division is a method used to divide polynomials quickly, especially when dividing by linear factors.
In this case, we divide the polynomial [tex]\(4x^2 + 6x - 3\) by \(x - 1\)[/tex] using synthetic division, resulting in a remainder of 7.
The probable question may be:
What is the remainder when [tex]\(4x^2 + 6x - 3\)[/tex] is divided by x - 1, using synthetic division?
A. 3
B. 7
C. 5
D. 9
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