Question

What will be the remainder, when
(1 Point)
p(x) = x3 - 3x2 + 4x + 5 is divided by g (x) = 4x + 5?​

Answer 1

You needn't to divide.

Remainder theorem is used in this situation, without quotient, only remainder is found.

The value that makes 4x+5=0 is x=-5/4

Put that value into p(x) to find remainder

→ $p(-\frac{5}{4} )$

→ $-\frac{125}{8} -\frac{75}{4} -5+5$

→ $-\frac{275}{8}$

So, the remainder is negative 275 over 8