Question

$decide \: whether \: x - 2 \: is \: the \: factor \: of \: {3x}^{3} - {5x }^{2} - 4$
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Answer 1

Given :

• $3x^3-5x^2-4$

To Find :

• Find whether $(x-2)$ is a factor of given equation.

Solution :

Let's have ,

• p(x) = $3x^3-5x^2-4$
• q(x) = $(x-2)$

$\rightarrow q(x)= x-2$

$\rightarrow x-2=0$

$\boxed{x=2}$

• Now substitute the value of x in p(x)

$\implies\sf{{3x}^{3} - {5x }^{2} - 4}$

$\implies \sf{3((2)^3)-5((2)^2)-4}$

$\implies \sf{3(8)-5(4)-4}$

$\implies \sf{24-20-4}$

$\implies \sf{24-24}$

$\implies \sf{0}$

Required Answer :

The Solution is zero hence $(x-2)$ is the factor of $3x^3-5x^2-4$

Answer 2

Answer:

refer the attachment

Step-by-step explanation:

hope it helps