What is the quotient if 2 x3-4 x-7 x2-7-x2-2 x-1 -

The correct option is A 1enclose[ 2x+3; x^2+2x 1longdiv2x^3+7x^2 4x+7; 2x^3+4x^2 2x +2; ...

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Division of a Polynomial by a Binomial

What is the q...

Question

What is the quotient if $\frac{2 x^{3} - 4 x + 7 x^{2} + 7}{x^{2} + 2 x - 1}$ ?

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Solution

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∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} - 2 x + 3 & 7 x + 2 & x + 4 2 x + 7 & x^{2} - x + 2 & 3 x 3 & 2 x - 1 & x^{2} - 4 x + 7 \end{matrix} ∣ ∣ ∣ ∣ ∣ = a x^{6} + b x^{5} + c x^{4} + d x^{3} + e x^{2} + f x + g

g

(2 x^{3} + 7 x^{2} + 2 x - 3)

(3 x - 1)

x^{3} - 4 x - 1

3 x^{3} - x^{2} + 6

2 x^{3} - x^{2} + 4 x + 7

(x^{2} + 4 x + 4) \div (x + 2)

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