The quotient of [tex]2x^{3} -3x^{2} -5x-12[/tex] divided by x-3 is 2[tex]x^{2}[/tex]+3x+4 and remainder is 0.
What is long division?
Long division is a method for getting a number by dividing two numbers. The number which we get from dividing are known as factors.
How to divide number?
We have been given two expressions and we have to divide an expression by another.
Expression 1:[tex]2x^{3} -3x^{2} -5x-12[/tex]
Expression 2: x-3
We know that,
Dividend=Divisor*Quotient+remainder
[tex]2x^{3}-3x^{2} -5x-12[/tex]=(x-3)*([tex]2x^{2} +3x+4[/tex])+0
If we compare both the equations we can find that quotient is equal to [tex]2x^{2} +3x+4[/tex] and remainder is equal to 0.
We can check our calculations by solving the right side of the equation.If it comes equal to left side then our calculations are right.
Hence the quotient of [tex]2x^{3} -3x^{2} -5x-12[/tex] divided by (x-3) is [tex]2x^{2} +3x+4[/tex].
Learn more about division at https://brainly.com/question/25289437
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