Finding the square root of the polynomial x 4-4 x 3-10 x 2-12 x -9-A- - x 2-2 x -3-B- - x 2-2 x -3-C- - x 2-2 x -3-D- - x 2-2 x -3-

The correct option is C |x^2 2x+3|[ amp; x^2 2x+3; ...

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Byju's Answer

Standard X

Mathematics

Square Root of Polynomials

Finding the s...

Question

Finding the square root of the polynomial $x^{4} - 4 x^{3} + 10 x^{2} - 12 x + 9.$

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

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| x^{2} - 2 x - 3 |

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| x^{2} + 2 x + 3 |

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

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Solution

The correct option is A $| x^{2} - 2 x + 3 |$
$\begin{matrix} x^{2} - 2 x + 3 x^{2} & x^{4} - 4 x^{3} + 10 x^{2} - 12 x + 9 x^{4} 2 x^{2} - 2 x & - 4 x^{3} + 10 x^{2} - 4 x^{3} + 4 x^{2} 2 x^{2} - 4 x + 3 & 6 x^{2} - 12 x + 9 6 x^{2} - 12 x + 9 0 \end{matrix}$

$∴$ Square root of $x^{4} - 4 x^{3} + 10 x^{2} - 12 x + 9$ is $| x^{2} - 2 x + 3 | .$

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Similar questions

Q. Find the square root of

\sqrt{2 x} + \sqrt{- x^{4} - 1}

Q. Divide:

x^{4} - 4 x^{2} + 12 x + 9

x^{2} + 2 x - 3

Question 2
Which of the following is not a quadratic equation?
(a) $2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$
(b) $2 x - x^{2} = x^{2} + 5$
(c) ${(\sqrt{2} x + \sqrt{3})}^{2} = 3 x^{2} - 5 x$
(d) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{3}$

Question 2
Which of the following is not a quadratic equation?
(a) $2 (x - 1)^{2} = 4 x^{2} - 2 x + 1$
(b) $2 x - x^{2} = x^{2} + 5$
(c) ${(\sqrt{2} x + \sqrt{3})}^{2} = 3 x^{2} - 5 x$
(d) $(x^{2} + 2 x)^{2} = x^{4} + 3 + 4 x^{3}$

\frac{x^{2} + 2 x - 3}{3 x - 9} \times \frac{x^{2} - 9}{x^{2} + 2 x + 1}

= ?

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Finding the square root of the polynomial x4−4x3+10x2−12x+9.

The correct option is A |x2−2x+3|x2−2x+3x2x4−4x3+10x2−12x+9x4 2x2−2x−4x3+10x2 −4x3+4x2 2x2−4x+3 6x2−12x+9 6x2−12x+90 ∴ Square root of x4−4x3+10x2−12x+9 is |x2−2x+3|.

Finding the square root of the polynomial $x^{4} - 4 x^{3} + 10 x^{2} - 12 x + 9.$