solve this ................... Created by caketea. algebra-ru

1.Proof:Let be a given polynomial function.Then, by Polynomial remainder theorem, is a divisor (factor) of if and only if .Hence,Q.E.D.2. Since is a divisor of , there is exists such that .Hence, .Therefore,Now, let's find the roots of g(x):Hence, are solutions of f(x).

solve this...

caketea @caketea

July 2022 1 17 Report

solve this ..................

Answers & Comments

Newtion

Verified answer

1.
Proof:
Let $f(x)$ be a given polynomial function.
Then, by Polynomial remainder theorem, $(x-2)$ is a divisor (factor) of $f(x)$ if and only if $f(2)=0$ .

Hence,
$f(2)=2\cdot 8 -9\cdot 4+7\cdot 2+6=16-36+14+6=0$

Q.E.D.

2.
Since $(x-2)$ is a divisor of $f(x)=2x^3-9x^2+7x+6$ , there is exists $g(x)$ such that $f(x)=(x-2)\cdot g(x)$ .
Hence,
$g(x)=f(x)/(x-2)$ .
Therefore,
$g(x)=2x^2-5x-3$

Now, let's find the roots of g(x):
$\displaystyle x_{1,2}= \frac{5\pm \sqrt{25+24} }{4}= \frac{5\pm7}{4}= 3,- \frac{1}{2}$

Hence,

$x_1,x_2,x_3=3,- 0.5,2$ are solutions of f(x).

1 votes Thanks 0

caketea WTF! i didn't understand a thing

Newtion You asked to solve it, i solved it. I don't know, what you don't understand...

Answers & Comments

Verified answer

mozhno li vyvodit iz pod kornya otricatelnoe chislo

This painting is believed _ painted by Leonardo Da Vinci a) that it isb) to bec)...

chto proishodit so stepenyu pri delenii

kak reshit eto kvadratnoe neravenstvo obyasnit v podrobnostyah2073a3baa86092185a851cd994f14146 91289

lyuboe chislo so stepenyu 0 ravno

kak reshit eto kvadratnoe neravenstvo obyasnit v podrobnostyah

solve the b) , and please with details...

solve the b) , and please with details...

choose the correct answer...

chemu raven 1nkl v kl

рекомендуемые вопросы

Helpful Links

Helpful Social