Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factorize the quadratic expression: f(x)=3x^(3)-21x^(2)-54 x

Factorize the quadratic expression: $f(x)=3x^{3}-21x^{2}-54x$

View step-by-step help

View step-by-step help

Operations with rational exponents

Full solution

Q. Factorize the quadratic expression:

f(x)=3x^{3}-21x^{2}-54x

Identify Common Factor: Identify the common factor in the terms of $f(x)$ . $f(x) = 3x^3 - 21x^2 - 54x$ Common factor = $3x$
Factor Out Common Factor: Factor out the common factor from each term. $\newline$ $f(x) = 3x(x^2 - 7x - 18)$
Factorize Quadratic Expression: Factorize the quadratic expression inside the parentheses. $\newline$ $x^2 - 7x - 18$ $\newline$ Factors of $-18$ that add up to $-7$ are $-9$ and $+2$ . $\newline$ $(x - 9)(x + 2)$
Write Fully Factored Form: Write the fully factored form of $f(x)$ . $f(x) = 3x(x - 9)(x + 2)$

More problems from Operations with rational exponents

Question

f(x)=\frac{6 x+5}{2-\sqrt{14+5 x}}

\newline

We want to find

\lim _{x \rightarrow-2} f(x)

\newline

What happens when we use direct substitution?

\newline

1

\newline

(A) The limit exists, and we found it!

\newline

(B) The limit doesn't exist (probably an asymptote).

\newline

(C) The result is indeterminate.

Posted 4 months ago

Question

x^{4}+y^{2}=17

\newline

What is the value of

\frac{d^{2} y}{d x^{2}}

(-2,1)

\newline

Give an exact number.

Posted 3 months ago

Question

What is the area of the region bound by the graphs of

f(x)=\sqrt{x-2}, g(x)=14-x

x=2

\newline

1

\newline

\frac{19}{6}

\newline

\frac{99}{2}

\newline

\frac{151}{2}

\newline

\frac{45}{2}

Posted 2 months ago

Question

g(x)=x^{\frac{4}{3}}

\newline

g^{\prime}(27)=

Posted 2 months ago

Question

\ln \left(\frac{1}{\sqrt{e}}\right)

\newline

Posted 3 months ago

Question

\ln \left(\frac{1}{e}\right)

\newline

Posted 3 months ago

Question

y=(\sin^{-1}(5x^{2}))^{3}

Posted 3 months ago

Question

\left(10x^{3}-5x^{2}-6x\right)\div\left(2x^{2}\right)

Posted 3 months ago

Question

y=\cos^{4}x\sin^{4}x

Posted 3 months ago

Question

\frac{3}{5}-\frac{3}{10}

Posted 3 months ago