If x-1 is a factor of m x2-2 x-1-0- then the value of -m - isA- 1 B- -2-1C- -2-1D- -2

The correct option is B (x 1) is a factor of mx^2 √(2) x+1=0, then x=1 is zero of a given polynomial Put x=1 in the given equation, we get m(1)^2 √(2) (1)+1 ...

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Byju's Answer

Standard IX

Mathematics

Factor Theorem

If x-1 is a f...

Question

If $(x - 1)$ is a factor of $m x^{2} - \sqrt{2} x + 1 = 0$ , then the value of 'm ' is

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Solution

The correct option is C
$(x - 1)$ is a factor of $m x^{2} - \sqrt{2} x + 1 = 0,$ then $x = 1$ is zero of a given polynomial
Put x=1 in the given equation, we get
m $(1)^{2} - \sqrt{2} (1) + 1 = 0$
$m - \sqrt{2} + 1 = 0$
$\Rightarrow m = \sqrt{2} - 1$

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If (x−1) is a factor of mx2−√2x+1=0, then the value of 'm ' is

The correct option is C (x−1) is a factor of mx2−√2x+1=0, then x=1 is zero of a given polynomial Put x=1 in the given equation, we get m(1)2−√2(1)+1=0 m−√2+1=0 ⇒m=√2−1

If $(x - 1)$ is a factor of $m x^{2} - \sqrt{2} x + 1 = 0$ , then the value of 'm ' is

The correct option is C
$(x - 1)$ is a factor of $m x^{2} - \sqrt{2} x + 1 = 0,$ then $x = 1$ is zero of a given polynomial
Put x=1 in the given equation, we get
m $(1)^{2} - \sqrt{2} (1) + 1 = 0$
$m - \sqrt{2} + 1 = 0$
$\Rightarrow m = \sqrt{2} - 1$