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Most Popular Algebra Questions & Answers - Problems, Homework Solutions

Find the Equation Given the Roots 2 , 2i

Roots are the points where the graph intercepts with the x-axis $(y = 0)$ .

$y = 0$ at the roots

Use the Rational Roots Test to Find All Possible Roots f(x)=-4x^3+23x^2-14x-5

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and …

Find the y-intercept 5y+9=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 …

Convert to Regular Notation 5.2*10^-7

Since the exponent of the scientific notation is negative, move the decimal point $7$ places to the left.

$0.00000052$

Find the x and y Intercepts 5x+4y=-20

Find the x-intercepts.

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To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$5 x + 4 …$

Use the Rational Roots Test to Find All Possible Roots f(x)=-4x^3+31x^2-20x-7

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and …

Graph f(x)=4x^2-x-3

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 $4 …$

Find the y-intercept 5y+6=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 …

Convert to Regular Notation 3*10^6

Since the exponent of the scientific notation is positive, move the decimal point $6$ places to the right.

$3000000$

Find the x and y Intercepts 5x+4y=-6

Find the x-intercepts.

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To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$5 x + 4 …$

Convert to Regular Notation 2.8*10^8

Since the exponent of the scientific notation is positive, move the decimal point $8$ places to the right.

$280000000$

Find the y-intercept 5y=-35

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 …

Convert to Regular Notation 8*10^-4

Since the exponent of the scientific notation is negative, move the decimal point $4$ places to the left.

$0.0008$

Find the x and y Intercepts 5x-4y=-12

Find the x-intercepts.

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To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$5 x - 4 …$

Use the Rational Roots Test to Find All Possible Roots f(x)=4x^4+8x^3-33x^2-2x+8

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and …

Solve for x log base 2 of x+8=4

Rewrite $\log_{2} (x + 8) = 4$ in exponential form using the definition of a logarithm. If $x$ and $b$ are positive real numbers …

Find the y-intercept 5y=5x-10

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 …

Use the Rational Roots Test to Find All Possible Roots f(x)=4x^4+5x^3-10x^2-2x-3

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and …

Find the y-intercept 4y=36

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 …

Rationalize the Denominator 6/(6+ square root of 12x)

Simplify the denominator.

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Rewrite $12 x$ as $2^{2} \cdot (3 x)$ .

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Factor $4$ out …