Question

Divide by synthetic division method. (2x⁴+3x²+5) ÷ (x+2​

Answer 1

Given,

$\[\left( {2{x^4} + 3{x^2} + 5} \right) \div \left( {x + 2} \right)\]$

Solution,

$\[ = \frac{{\left( {2{x^4} + 3{x^2} + 5} \right)}}{{\left( {x + 2} \right)}}\]$

Use synthetic method.

Remainder $\[ = 49\]$

Quotient $\[=2{x^3} - 4{x^2} + 11x - 22\]$