Nannie Mack
2021-02-03
Answered

Find the zeroes of the polynomial by factorization method

$3{x}^{2}+4x-4$

You can still ask an expert for help

Pohanginah

Answered 2021-02-04
Author has **96** answers

Step 1

Given

Step 2 By factorization

Jeffrey Jordon

Answered 2021-11-11
Author has **2313** answers

Answer is given below (on video)

asked 2021-06-03

Determine whether the following function is a polynomial function. If the function is a polynomial function, state its degree. If it is not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term.

$g(x)=3-\frac{{x}^{2}}{4}$

asked 2022-01-21

How can I prove that $x-\frac{{x}^{2}}{2}<\mathrm{ln}(1+x)$

asked 2022-05-13

Compute all the points of discontinuity if $\frac{{n}^{2}-17n+72}{({n}^{2}-10n+25)({n}^{2}+6n+5)}$.

asked 2022-05-14

Asymptotics of logarithms of functions

If I know that $\underset{x\to \mathrm{\infty}}{lim}{\displaystyle \frac{f(x)}{g(x)}}=1$, does it follow that $\underset{x\to \mathrm{\infty}}{lim}{\displaystyle \frac{\mathrm{log}f(x)}{\mathrm{log}g(x)}}=1$ as well? I see that this definitely doesn't hold for $\frac{{e}^{f(x)}}{{e}^{g(x)}}$ (take $f(x)=x+1$ and $g(x)=x$), but I'm not sure how to handle the other direction.

If I know that $\underset{x\to \mathrm{\infty}}{lim}{\displaystyle \frac{f(x)}{g(x)}}=1$, does it follow that $\underset{x\to \mathrm{\infty}}{lim}{\displaystyle \frac{\mathrm{log}f(x)}{\mathrm{log}g(x)}}=1$ as well? I see that this definitely doesn't hold for $\frac{{e}^{f(x)}}{{e}^{g(x)}}$ (take $f(x)=x+1$ and $g(x)=x$), but I'm not sure how to handle the other direction.

asked 2021-11-16

Find a relationship between x and y such that (x, y) is equidistant (the same distance) from the two points. (-1/2, -4), (7/2, 5/4)

asked 2022-03-23

logarithm of a sum or addition

I search a general rule for calculating the logarithm of a sum or addition. I know that

$\mathrm{ln}(a+b)=\mathrm{ln}\left(a(1+\frac{b}{a})\right)=\mathrm{ln}\left(a\right)+\mathrm{ln}(1+\frac{b}{a})$

but when the sum implies more terms, how to generalize its calculation/computation? For example when

$\mathrm{ln}(a+b+c)$

or when

$\mathrm{ln}\left(\sum _{i}{a}_{i}\right)$

like when we have to compute the denominator of a Bayes formula using log-likelihoods? Thanks for your incoming help.

I search a general rule for calculating the logarithm of a sum or addition. I know that

but when the sum implies more terms, how to generalize its calculation/computation? For example when

or when

like when we have to compute the denominator of a Bayes formula using log-likelihoods? Thanks for your incoming help.

asked 2022-02-09

How do you find the GCF of 14ab, 7a?