Question

If the polynomial 6x⁴+8x³+17x²+21x+7 is divided by 3x²+4x+1 remainder comes to ax+b find the value of a and b

Answer 1

Answer:

Step-by-step explanation:

Given: If the expression 6 x^{4}+8 x^{3}+17 x^{2}+21 x+7 is ‘divided another one’ 3 x^{2}+4 x+1, ‘remainder’ will be “(ax + b)”.  

Thus, the division of both the ‘equations’ are derived in below attached image.

Therefore, \mathrm{x}+2=\mathrm{ax}+\mathrm{b}

\begin{aligned} \mathrm{x} &=\mathrm{ax} \\ \frac{x}{x} &=a \end{aligned}

a = 1 and b = 2