18. If $$ (x+1) $$ and $$ (x+3) $$ are both factors of $$ 2 x^{3}+a x^{2}+b x-3 $$, find the values of $$ a $$ and $$ b $$. Find the third factor and hence solve the equation $$ 2 x^{3}+a x^{2}+b x-3=0 $$.

Question

Williams Clark · Accepted Answer

The values of $$ a $$ and $$ b $$ are $$ a = 7 $$ and $$ b = 2 $$. The third factor is $$ 2x - 1 $$. The solutions to the equation are $$ x = -1 $$, $$ x = -3 $$, and $$ x = \frac{1}{2} $$.

18. If \( (x+1) \) and \( (x+3) \) are both factors of \( 2 x^{3}+a x^{2}+b x-3 \), find the values of \( a \) and \( b \). Find the third factor and hence solve the equation \( 2 x^{3}+a x^{2}+b x-3=0 \).

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

18. If \( (x+1) \) and \( (x+3) \) are both factors of \( 2 x^{3}+a x^{2}+b x-3 \), find the values of \( a \) and \( b \). Find the third factor and hence solve the equation \( 2 x^{3}+a x^{2}+b x-3=0 \).

Solución ThothAI de Upstudy

Respuesta rápida

Solución paso a paso

preguntas relacionadas