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Polynomials — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsPolynomials2 Marks
Question
For the polynomial $mx^2 – 2x + 3$ if $p(-1) = 7$, then find m.
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Answer

$p(x) = mx^2 – 2x + 3$
$\therefore p(- 1) = m (- 1)^2 – 2(- 1) + 3$
$\therefore 7 = m(1) + 2 + 3 …[\because p(-1) = 7]$
$\therefore 7 = m + 5$
$\therefore m = 7 – 5$
$\therefore m = 2$

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