Factorisation of Polynomials

 $x^{2^{ }}+4\sqrt{2}\ x\ +6\$  Factorize

•  $\left(\ x+\sqrt{3}\right)\left(\ x+3\sqrt{2}\right)$  

•  $\left(\ x\ -\sqrt{2}\right)\left(\ x\ +\ 2\sqrt{3}\right)$  

•    $\left(\ x\ +\ \sqrt{2}\ \right)\left(\ x\ +\ 3\sqrt{2}\right)$  

•  $\left(\ x\ +\ \sqrt{2}\right)\ \left(\ x\ +2\sqrt{2}\ \right)$  

 $\sqrt{2}^{\ }x^2\ \ +\ 9\ x\ \ +\ 4\sqrt{2}$  (

•  $\left(\ \sqrt{2}x\ -1\right)\left(\ x\ +\ \sqrt{2}\right)$  

•  $\left(\sqrt{2}\ x\ +\ 1\right)\left(\ x\ +\ 4\sqrt{2}\right)$  

•  $\left(\ \sqrt{2}x\ +2\right)\left(x\ -\ 4\sqrt{2}\right)$  

Factorize $125x^3\ -343y^3\$  

•  $\left(\ 5x-7y\right)\left(25x^2\ -35xy\ +49y^2\right)$  

•  $\left(5x\ -7y\right)\left(\ 25x\ -35xy\ +49y^2\right)$  

•  $\left(5x\ +7y\right)\ \left(25x^2\ -35xy\ +49y^2\right)$  

•  $\left(5x-7y\right)\left(25x^2\ +35xy\ +\ 49y^2\right)$  

 $\left(2x-4y\right)^3\ +\left(4y-3z\right)^3\ +\ \left(3z-2x\right)^3\$  

•  $3\left(2x-4y\right)\left(4y-3z\right)\left(3z-2x\right)$  

•  $3\left(2x-4y\right)\left(4y-3z\right)\left(3z-5x\right)$  

•  $-3\left(2x-4y\right)\left(4y-3z\right)\left(3z-2x\right)$  

•  $3\left(2x+4y\right)\left(4y+3z\right)\left(3z+2x\right)$  

The polynomial $x^3\ -2x^2\ -x+2$  has factors

•  $\left(x-1\right)\ ,\ \left(\ x+1\right)\ and\ \left(\ x-2\right)$  

•  $\left(x+1\right)\ \left(\ x+3\right)\ and\ \left(\ x-2\right)$  

•  $\left(x-1\right)\ ,\ \left(\ x+1\right)\ and\ \left(\ x_{ }+2\right)$  

•  $\left(x-1\right)\ ,\ \left(\ x+3\right)\ and\ \left(\ x-2\right)$  

 $The\ coefficient\ x^2\ in\ \left(2-3x^2\right)\left(x^2\ -\ 5\right)$  is

• -17

• -10

• -3

• 17

 $find\ the\ value\ of\ a^3\ +b^3\ +\ c^3\ -3abc$   $If\ a\ +\ b\ +\ c\ =\ 12\ ,\ \ \left(a^2\ +b^2\ +\ c^2\ \right)\ =\ 90,\$  

• 675

• 750

• 756

• 745

 $If\ x^2\ +\ k\ x\ +6\ =\ \left(\ x\ +\ 2\ \right)\ \left(\ x+3\right)\$   $the\ value\ of\ '\ k\ '\ is\$  

• 1

• 2

• 5

• 3

 $\left(\ x\ -\frac{1}{x}\ \right)\left(\ x\ +\frac{1}{x}\ \right)\left(\ x^2\ +\frac{1}{x^2}\ \right)\ =\$  

•  $x^4\ +\ \frac{1}{x^4}$  

•  $x^4\ -\ \frac{1}{x^4}$  

•  $x^3\ -\ \frac{1}{x^3}\ -\ 2$  

•  $x^3\ -\ \frac{1}{x^3}\ +\ 2$  

The degree of a polynomial is 3 then the number of roots of the particular equation is

• 1

• 2

• 3

• 4