If (x - 5) is a factor of the cubic equation $x^{3} - 18 x - 35 = 0$ . Find the quotient.

+ 2x + 3

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Solution

The correct option is D

$\begin{matrix} x^{2} + 5 x + 7 x - 3 & x^{3} - 18 x - 35_x^{3}_+ 5 x^{2} 5 x^{2} - 18 x_{-} 5 x^{2}_{+} - 25 x 7 x - 35 7 x - 35 0 \end{matrix}$

Quotient is $x^{2} + 5 x + 7$ .

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Similar questions

Q. Given that

x - \sqrt{5}

is a factor of the cubic polynomial

x^{3} - 3 \sqrt{5} x^{2} + 13 x - 3 \sqrt{5}

, find all the zeroes of the polynomial .

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x^{3} - 18 x = 35

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Q. The transformed equation of

x^{3} - \frac{5}{2} x^{2} - \frac{7}{18} x + \frac{1}{108} = 0

by removing fractional coefficients is

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If (x - 5) is a factor of the cubic equation x3−18x−35=0 . Find the quotient.

The correct option is D x2+5x+7x−3x3−18x−35 _x3_+5x2 5x2−18x −5x2 +−25x 7x−35 7x−35 0 Quotient is x2+5x+7 .

If (x - 5) is a factor of the cubic equation $x^{3} - 18 x - 35 = 0$ . Find the quotient.

The correct option is D

$\begin{matrix} x^{2} + 5 x + 7 x - 3 & x^{3} - 18 x - 35_x^{3}_+ 5 x^{2} 5 x^{2} - 18 x_{-} 5 x^{2}_{+} - 25 x 7 x - 35 7 x - 35 0 \end{matrix}$

Quotient is $x^{2} + 5 x + 7$ .