Question

Divide x³ - 3x² + x -2 / 10x⁴ - 14x³ - 10x² + 6x - 10 .What is the quotient ?

Answer 1

To divide x³ - 3x² + x - 2 by 10x⁴ - 14x³ - 10x² + 6x - 10, you can use polynomial long division. The quotient is 0.1x.

Step-by-step explanation:

To divide the expression x³ - 3x² + x - 2 by the expression 10x⁴ - 14x³ - 10x² + 6x - 10, we can use polynomial long division. Here's how:

1. Start by dividing the highest degree term of the numerator (x³) by the highest degree term of the denominator (10x⁴). This gives us the first term of the quotient, which is 0.1x.
2. Multiply the divisor (10x⁴ - 14x³ - 10x² + 6x - 10) by the first term of the quotient (0.1x) and subtract it from the numerator (x³ - 3x² + x - 2). This will give us a new expression to divide.
3. Repeat steps 1 and 2 until we have no more terms to divide. The result is the quotient.

By performing this division, the quotient of x³ - 3x² + x - 2 divided by 10x⁴ - 14x³ - 10x² + 6x - 10 is 0.1x.