Question

3x⁴+ 17x³+7x²-26x+ 22 divided by 3x+² 5x-4 If there is a remainder, express the result in the form q(x)+(r(x))/(b(x)).

Answer 1

The task involves dividing a polynomial by another polynomial using long division to find the quotient and possible remainder.

Step-by-step explanation:

To divide the polynomial 3x⁴ + 17x³ + 7x² - 26x + 22 by 3x² + 5x - 4, we need to perform polynomial long division or synthetic division, similar to long division with numbers. This method allows us to find the quotient q(x) and the remainder r(x) if there is any. The division process will give us a result in the form q(x) + (r(x))/(b(x)), with q(x) being the quotient and r(x)/(b(x)) the remainder over the original divisor b(x). If there's a remainder, it will be of lesser degree than the divisor.