When \(3{x^3} + 2{x^2} - 7x + 5\) is divided by \(x - 2\), what is the remainder?
\[3\]
\[17\]
\[23\]
When \({x^4} + 2{x^3} - {x^2} + 5\) is divided by \(x - 3\), what is the remainder?
\[47\]
\[131\]
Find the remainder when dividing the polynomial \(f(x) = 4{x^3} - 2x + 7\) by \((x - 1)\)
\[2\]
\[9\]
\[6\]
If \({x^4} + 2{x^3} - k{x^2} + 2x - 3\) divides exactly by \(x+3\), what is the value of \(k\)?
\[- 2\]
\[3\frac{1}{4}\]
When \(2{x^3} + {x^2} - 5x + 2\) is divided by \(2x - 1\), what are the other factors?
\(x + 2\) and \(x - 1\)
\(x - 2\) and \(x + 1\)
\(2x - 2\) and \(x - 2\)
One root of the equation \(4{x^3} - 8{x^2} - x + 2 = 0\) is \(\frac{1}{2}\).
What are the other roots?
\(\frac{1}{2}\) and \(- 2\)
\(- \frac{1}{2}\) and \(2\)
\(\frac{1}{2}\) and \(2\)