What is the quotient (x3 + 3x2 + 5x + 3) ÷ (x + 1)?

Mathematics

2 answers:

GalinKa [24]4 years ago

8 0

That would be x^2 + 2x + 3

Studentka2010 [4]4 years ago

7 0

Answer:

$\frac{x^3+3x^2+5 x+3}{x+1}\\\\=\frac{x^3+x^2+2x^2+2x+3x+3}{x+1}\\\\=\frac{x^2\times(x+1)+2x\times (x+1)+3\times (x+1)}{x+1}\\\\=\frac{(x+1)(x^2+2x+3)}{x+1}\\\\=x^2+2x+3$

⇒Quotient =x²+2 x+3

You might be interested in

ABC and DEF are similar. Find the missing side length.

mrs_skeptik [129]

Answer:

The missing side length is 5

Step-by-step explanation:

Basically 32 to 4 and 56 to 7 is 8 to 1, so you divide 40 by 8 to get the answer, 5

3 0

3 years ago

If a salesperson sells 3/4 of an acre for $80,000, what was the price per square foot rounded to two decimal spaces?

Julli [10]

Now, recalling that for 1 yard, there are 3 feet, therefore $\bf \begin{array}{ll}
yards&feet\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1yd&3ft\\
(1yd)^2&(3ft)^2\\
yd^2&3^2ft^2\\
&9ft^2
\end{array}$

and keeping in mind that, there are 4840 yd² in 1 acre, then

$\bf \cfrac{\quad \frac{3}{4}~\underline{acre}\quad }{80000~\$}\cdot \cfrac{4840~\underline{yd^2}}{\underline{acre}}\cdot \cfrac{9~ft^2}{\underline{yd^2}}\implies \cfrac{\frac{3}{4}\cdot4840\cdot 9~ft^2}{80000~\$}\implies \cfrac{\frac{130680}{4}}{80000}
\\\\\\
\cfrac{\frac{130680}{4}}{\frac{80000}{1}}\implies \cfrac{130680}{4}\cdot \cfrac{1}{80000}\implies \cfrac{3267}{8000}~\frac{ft^2}{\$}~\approx~ 0.408375 ~\frac{ft^2}{\$}$

5 0

4 years ago

solve x^2-8x=20 by completing the square. Which is the solution set of the equation? a {2, 10} b {-2, 10} c {2, -10} d {-2, -10}

torisob [31]

Answer:

B is the correct answer.

Step-by-step explanation:

7 0

3 years ago

The endpoints of EF<br> are E(1,3) and F(-2,8).<br> Find EF.

Phantasy [73]

Answer: