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Method of Finding HCF

Show by long ...

Question

Show by long deviation method that is $x - 3$ factor of $2 x^{4} + 3 x^{2} - 5 x + 6$ or not.

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Solution

Since remainder is not zero,
$(x - 3)$ is not a factor of
$2 x^{4} + 3 x^{2} - 5 x + 6$

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Similar questions

Q. Examine whether

x - 2

2 x^{3} - 3 x^{2} - 5 x + 6

or not using factor theorem.

Q. Using factor theorem, show that:
(2x − 3) is a factor of (2x⁴ + x³ − 8x² − x + 6)

Q. Verify using factor theorem, whether

2 x^{4} - 6 x^{3} + 3 x^{2} + 3 x - 2

is divisible by

x^{2} - 3 x + 2

\begin{matrix} lim x \to 0 \end{matrix} (\frac{x^{5} + 2 x^{4} + x^{2} + 3 x + 2}{x^{4} + {2 x}^{3} + {3 x}^{2} - 5 x - 22}) = - \frac{1}{11}

Q. State whether true or false:

Solve the quadratic equation

x^{2} + 5 x + 6 = 0

by factorization method, then

x = - 2 o r - 3

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