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Most Popular Algebra Questions & Answers - Problems, Homework Solutions

Rewrite using the commutative property of multiplication.

$2 x \cdot x$

Multiply $x$ by $x$ by adding the exponents.

Find the Remainder (3x^2+9x+5)÷(x+2)

To calculate the remainder, first divide the polynomials.

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Set up the polynomials to be divided. If there is not a term for every …

Divide Using Long Polynomial Division (4x^5-x^3-2x^2-180x+14)/(x^2-7)

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of $0$ .

$x^{2 …}$

Solve for x 3x+2=14

Move all terms not containing $x$ to the right side of the equation.

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Subtract $2$ from both sides of the equation. …

Find the Vertex Form -2x^2+12x-19

Write $- 2 x^{2} + 12 x - 19$ as an equation.

$y = - 2 x^{2} + 12 x - 19$

Simplify 5-6i+(-4-i)

Simplify the expression.

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Remove parentheses.

$5 - 6 i - 4 - i$

Subtract $4$ from $5$ .

$1 - 6 i …$

Graph f(x)=-10x^2

Find the properties of the given parabola.

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Rewrite the equation in vertex form.

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Complete the square for $- \dots$

Find the Value Using the Unit Circle tan(( square root of 3)/3)

The unit circle can be used to find the values for exact angles.

Not an exact value

Graph f(x)=1+ log base 2 of x

Find the asymptotes.

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Find where the expression $1 + \log_{2} (x)$ is undefined.

$x \leq 0$

Since $1 + \dots$

Simplify w(3w+2)+5w

Simplify each term.

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Apply the distributive property.

$w (3 w) + w \cdot 2 + 5 w$

Rewrite using …

Solve by Graphing 3x+6y=12 , 9x+18y=36

Subtract $3 x$ from both sides of the equation.

$6 y = 12 - 3 x$

$9 x + 18 y = 36$

Find the Slope (3,5) , (8,15)

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{change in y}{change in x …}$

Find the y-intercept 2y+5=0

Rewrite in slope-intercept form.

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The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is …

Find the Slope (-1,2) , (1,-1)

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{change in y}{change in x …}$

Find the 7th Term 1 , 5 , 9 , 13 , 17

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $4$ to the previous term in the sequence …

Factor (x^2-2x-15)

Remove parentheses.

$x^{2} - 2 x - 15$

Factor $x^{2} - 2 x - 15$ using the AC method.

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Consider the …

Simplify f(x)*5

Move $5$ to the left of $f (x)$ .

$5 f (x)$

Subtract $2$ from $0$ .

$- 2$

Simplify cos(pi/6)

The exact value of $\cos (\frac{π}{6})$ is $\frac{\sqrt{3}}{2}$ .

$\frac{\sqrt{3}}{2}$

The result can be shown in multiple forms.

$\frac{\sqrt{3}}{2 …}$

Graph f(x)=4-|x|

Find the absolute value vertex. In this case, the vertex for $y = 4 - | x |$ is $(0, 4)$ .