Answer:
- The problem has a remainder of 7.
- The divisor of the problem is (x -1).
Explanation:
The divisor is the expression on the right side of the division symbol (÷). That expression is (x - 1).
The divisor is (x - 1).
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The remainder can be found multiple ways. One of the easiest may be to evaluate the dividend expression for the value of x that makes the divisor be zero. That is, the remainder is the value of 2x^3 -5x^4 +7x +3 when x=1.
2(1^3) -5(1^4) +7(1) +3 = 2 -5 +7 +3 = 7
The problem has a remainder of 7.
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Since the remainder is not zero, the divisor is not a factor of the dividend.