Question

Examine whether (x + 1) is a factor of 3x ^2 + x - 1

Answer 1

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Let f(x) = 3x² +x - 1

If ( x +1) is a factor of f(x),

Then,

f(x) = 0 when x = - 1

So, according to the problem,
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$= > f(x) =3 {x}^{2} + x - 1 \\ \\ = 3 {( - 1)}^{2} + ( - 1) - 1 \\ \\ = 3 - 1 - 1 \\ \\ = 1$
Which is not equal to 0.

So,

(x+1) is not a factor of 3x² +x - 1

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