Question

The condition for m for which the expression-mx^2+x-1 cannot be factorized into two linear factors is

Answer 1

The condition for which the expression-mx²+x-1 cannot be factorized into two linear factors is m = 0

Step-by-step explanation:

The given equation is

$-mx^2+x-1$

This is a quadratic expression and a quadratic expression can be written in the form of (x+a)(x+b).

When we multiply these two linear factors then we'll get a quadratic expression.

So, we can say that a quadratic expression can be factorized into two linear factors.

In the given expression if the coefficient of x² which is -m is zero, then it will be (x-1) and it never be written in the form of two linear factors.

Therefore, we can conclude that

• if m = 0 then the given expression cannot be factorized into two linear factors

#Learn More:

Find the value of k for which the roots of the equation 3x2 - 10x + k = 0 are reciprocal of each other.

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