Question

Find the remainder (without division) on dividing 3x³ + 5x² - 11x - 4 by (3x + 1)​

Answer 1

$\huge\boxed{Answer}$

3x³−5x²−x=0

⇒x(3x²−5x−1)=0.

⇒x=0 or 3x²−5x−1=0.

⇒x=0 or x=5±√5²+12/6 = 5±√37/6.

⇒ The polynomial 3x3−5x2−x has three zeros, which are at

x=0,

x=5+√37/6 and x=5−√37/6.

Answer 2

Step-by-step explanation:

3x³−5x²−x=0

⇒x(3x²−5x−1)=0.

⇒x=0 or 3x²−5x−1=0.

⇒x=0 or x=5±√5²+12/6 = 5±√37/6.

⇒ The polynomial 3x3−5x2−x has three zeros, which are at

x=0,

x=5+√37/6 and x=5−√37/6.