Question

divide the polynnomial x2+2x+1 by x+1

Answer 1

Answer:

x + 1

Step-by-step explanation:

${x}^{2} + 2x + 1 \: can \: be \: written \: as \\ = {x}^{2} + 2 \times x \times 1 + {1}^{2} \\ > > {(a + b)}^{2} = {a}^{2} +2ab + {b}^{2} < < \\ = {(x + 1)}^{2}$

• (x² + 2x +1) ÷ (x + 1)

$= \frac{ {(x + 1)}^{2} }{x + 1} \\ = \frac{(x + 1)(x + 1)}{x + 1} \\ = x + 1$