Find degree of polynomial part when (2x³ + 3x² - x + 5) is divided by x.
2
Dividing each term of \(2x^3+3x^2-x+5\) by \(x\) gives \(2x^2+3x-1+\frac{5}{x}\).
The polynomial part of this quotient (excluding the fractional remainder term) is \(2x^2+3x-1\).
The highest power of x in this polynomial part is 2, so its degree is 2.
If (x + y) 3+ 8 (x - y) 3= (3x + Ay) (3x 2+ Bxy + Cy 2), then the value of A + B + C is:
Given that x 8- 34x 4+ 1 = 0, x > 0. What is the value of (x 3+ x -3 )?
If \(x - \frac 3 x = 6,\; x \ne 0,\) then the value of \(\frac {x^4 - \frac {27}{x^2}}{x^2 - 3x - 3}\) is:
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The coefficient of x in (x – 3y) 3is: