Answer:
[tex]\boxed{\textsf{ The quotient is $\sf x^2-3x-7$ and the remainder is (-10).}}[/tex]
Step-by-step explanation:
Here we will be using long division method to find the quotient . Here we need to divide (x³+2x²-22x-45) and (x+5) . So lets divide .
x+5) x³+2x²-22x-45 ( x² -3x -7
x³ + 5x²
- -
______________
- 3x²-22x -45
-3x² -15x
+ +
______________
-7x -45
-7x -35
______________
-10
Quotient = x² -3x -7
Remainder = (-10)