Question

Divide p(x) = x3 – 3x2 +4x +50 by g(x) = (x +2)
Pls say correct answer step by step

Answer 1

Step-by-step explanation:

$\tt \red{here \quad \: p(x) = {x}^{3} - {3x}^{2} - 4x + 50 }$

$\tt \red{and \quad \: g(x) = (x + 2)}$

Answer:

$\boxed{\huge{\mathbb\pink{REFERR \:TO\: THE\:\: ATTACHMENT }}}$

Step-by-step explanation:

hope it help you.

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Answer 2

Answer:

The answer is $x^{2} -5x+14$.

Step-by-step explanation:

Given equations are

$p(x)=x^{3}-3x^{2}+4x+50$

$g(x)=x+2$

We have to divide $p(x)$ by $g(x)$.

$\frac{p(x)}{g(x)}=\frac{x^{3}-3x^{2}+4x+50}{x+2}$

We can see the division process in the picture below.

At first, we multiplied $x+2$ with $x^{2}$ because the highest power in the numerator is $3$.

Then, we subtracted the product from the numerator and eliminated the $x^{3}$ term.

Now, we multiplied $x+2$ with $-5x$, because the highest power now is $2$ and the coefficient is $-5$.

Then, we subtracted the product and eliminated the $x^{2}$ term.

Again, we multiplied $x+2$ with $14$, because the coefficient of $x$ term is $14$.

After subtraction, we get the remainder as zero.

On dividing p(x) by g(x), we get $x^{2}-5x+14$.