The HCF for $x^{5}$ , $x^{3}$ , $x^{2} + x$ is___

$x^{2}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

x + 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

x - 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B
x

The only common term in all the given polynomials is 'x'. So the required HCF is 'x' as per the concept of HCF of polynomials.

Suggest Corrections

Similar questions

\int (x + x^{2} + x^{3} + x^{4})

$x^{5} + x^{4} + x^{3} + x^{2} + x + 1$ by $x^{3} + 1$

\frac{x}{1 - x^{2}} - \frac{x^{3}}{1 - x^{6}} + \frac{x^{5}}{1 - x^{10}} - . . . . . . . = \frac{x}{1 + x^{2}} + \frac{x^{3}}{1 + x^{6}} + \frac{x^{5}}{1 + x^{10}} + . . . . .

x_{1}, x_{2}, x_{3}, x_{4}, x_{5}

\sqrt{x_{1} - 1} + 2 \sqrt{x_{2} - 4} + 3 \sqrt{x_{3} - 9} + 4 \sqrt{x_{4} - 16} + 5 \sqrt{x_{5} - 25} = \frac{x_{1} + x_{2} + x_{3} + x_{4} + x_{5}}{2}

\frac{x_{1} + x_{2} + x_{3} + x_{4} + x_{5}}{2}

x \neq - 1

\frac{x^{5} + x^{4} + x^{3} + x^{2}}{x^{3} + x^{2} + x + 1}

Join BYJU'S Learning Program