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What is the quotient when (3x^3 + 11x^2 + 26x + 30) is divided by (x + 5)?
To find the quotient of \((3x^3+11x^2+26x+30)\) when divided by \((x+5)\), we can use polynomial long division or synthetic division. Using synthetic division, we can write: \[ \begin{array}{c|cccc} \text{} & 3 & 11 & 26 & 30 \\ -5 & \downarrow & -15 & 20 & -230 \\ \hRead more
To find the quotient of \((3x^3+11x^2+26x+30)\) when divided by \((x+5)\), we can use polynomial long division or synthetic division.
Using synthetic division, we can write:
\[
\begin{array}{c|cccc}
\text{} & 3 & 11 & 26 & 30 \\
-5 & \downarrow & -15 & 20 & -230 \\
\hline
\text{} & 3 & -4 & 46 & -200 \\
\end{array}
\]
Therefore, the quotient is \(3x^2-4x+46\) and the remainder is \(-200\).
See lessPerform long division on 412 divided by 4.
Here is the long division process for 412 divided by 4: 103 ________ 4 | 412 4 ____ 12 12 ___ 0 Therefore, 412 divided by 4 is equal to 103.
Here is the long division process for 412 divided by 4:
103
________
4 | 412
4
____
12
12
___
0
Therefore, 412 divided by 4 is equal to 103.
See lessPerform long division on 684 divided by 9.
Here's how you would perform long division to find the quotient of 684 divided by 9: The quotient is 76, so 684 divided by 9 equals 76 with a remainder of 6.
Here’s how you would perform long division to find the quotient of 684 divided by 9:
The quotient is 76, so 684 divided by 9 equals 76 with a remainder of 6.
See lessHow do you do long division?
Long division is a method of dividing two numbers by writing them in a specific format and then dividing them digit by digit until the quotient is found. The process involves dividing the largest digit of the dividend by the divisor and multiplying the quotient with the divisor to get a partial prodRead more
Long division is a method of dividing two numbers by writing them in a specific format and then dividing them digit by digit until the quotient is found.
The process involves dividing the largest digit of the dividend by the divisor and multiplying the quotient with the divisor to get a partial product. The partial product is then subtracted from the dividend, and the process is repeated until there is no remainder left.
See lessPerform long division for any two numbers of your choice.
Let's perform a long division for 578 divided by 7. Therefore, 578 divided by 7 equals 82 with a remainder of 4.
Let’s perform a long division for 578 divided by 7.
Therefore, 578 divided by 7 equals 82 with a remainder of 4.
See lessWrite 8 divided by 12 as a fraction in simplest form.
To write 8 divided by 12 as a fraction in simplest form, we need to find the greatest common factor (GCF) of 8 and 12, which is 4. Then we can divide both the numerator and denominator by 4 to simplify the fraction: $$ \frac{8}{12} = \frac{8 \div 4}{12 \div 4} = \frac{2}{3} $$ Therefore, 8 divided bRead more
To write 8 divided by 12 as a fraction in simplest form, we need to find the greatest common factor (GCF) of 8 and 12, which is 4. Then we can divide both the numerator and denominator by 4 to simplify the fraction:
$$
\frac{8}{12} = \frac{8 \div 4}{12 \div 4} = \frac{2}{3}
$$
Therefore, 8 divided by 12 as a fraction in simplest form is 2/3.
See lessWrite 56/13 as a mixed number or fraction in simplest form.
The mixed number equivalent of 56/13 is: $$4 \frac{4}{13}$$ To convert to a mixed number, we first find the quotient and remainder: $$56 \div 13 = 4 \text{ with a remainder of } 4$$ So we can write: $$\frac{56}{13} = 4 + \frac{4}{13}$$ To simplify further, we note that there are no common factors beRead more
The mixed number equivalent of 56/13 is:
$$4 \frac{4}{13}$$
To convert to a mixed number, we first find the quotient and remainder:
$$56 \div 13 = 4 \text{ with a remainder of } 4$$
So we can write:
$$\frac{56}{13} = 4 + \frac{4}{13}$$
To simplify further, we note that there are no common factors between 4 and 13, so this fraction is already in its simplest form.
See less