Is g(x)= (x-2)(x-9)(x-1) the factored form of f(x)=x^3+8x^2-11x-18

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

We can check to see if (x - 2)(x - 9)(x - 1) is the factored form of x^3 + 8x^2 - 11x - 18 by using foil.

(x - 2)(x - 9)(x - 1)

(x - 2)x^2 - x - 9x + 9

Combine like terms.

(x - 2)x^2 - 10x + 9

FOIL again.

x^3 - 10x^2 + 9x - 2x^2 + 20x - 18

Combine like terms.

x^3 - 12x^2 + 29x - 18

<h3><u>The listed factors are not true factors of the given polynomial.</u></h3>

You might be interested in

Please answer this (:

svetlana [45]

Since we know that there is a 1 in 12 chance that the spinners will land on "4" and "C" and we know the total amount of spins is 240, we can find one twelfth of 240. To do so, you multiply 240 by 1/12 which is the same as 240/12. This can be simplified to 20 through division. Therefore, the answer is 20 times.

I hope this helps.<span />

7 0

3 years ago

Felipe Rivera's savings account has a balance of 2163 After 3 years what will the amount of interest be at 4%

Allisa [31]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2163\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &3 \end{cases} \\\\\\ A=2163\left(1+\frac{0.04}{4}\right)^{4\cdot 3}\implies A=2163(1.01)^{12}\implies A\approx 2437.322540175$