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Polynomials — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsPolynomials2 Marks
Question
Very-Short-Answer Question:
Write the zeros of the polynomial $x^2 - x - 6$
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Answer

We have, $f(x) = x^2 - x - 6 = x^2- 3x + 2x - 6 = x(x - 3) + 2(x - 3) = (x + 2)(x - 3)$
$\therefore$ $f(x) = 0$
$\Rightarrow (x + 2)(x - 3) = 0$
$\Rightarrow x + 2 = 0 or x - 3 = 0$
$\Rightarrow x = -2 or x = 3$
So, the zeros of f(x) are -2 and 3

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