{x^{3}+4x^{2}+5x+2}{x+3}

asked by guest
on Jan 16, 2025 at 8:21 am



You asked:

Evaluate the expression: \(\left({x}^{3} + 4 {x}^{2} + 5 x + 2\right) \left(x + 3\right)\)

MathBot Answer:

Evaluated



\(\displaystyle \left({x}^{3} + 4 {x}^{2} + 5 x + 2\right) \left(x + 3\right) = \left(x + 3\right) \left(x^{3} + 4 x^{2} + 5 x + 2\right) \)

Expanded

\[\left({x}^{3} + 4 {x}^{2} + 5 x + 2\right) \left(x + 3\right) = x^{4} + 7 x^{3} + 17 x^{2} + 17 x + 6\]

Factored

\[\left({x}^{3} + 4 {x}^{2} + 5 x + 2\right) \left(x + 3\right) = \left(x + 1\right)^{2} \left(x + 2\right) \left(x + 3\right)\]

+ Submit Question