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Polynomials

RD Sharma

CBSE

Grade 10

Question:

The quadratic polynomial, sum of whose zeroes is $-5$ and product is $6$, is:
(a) $x^2 + 5x + 6$
(b) $x^2 - 5x + 6$
(c) $x^2 - 5x - 6$
(d) $x^2 + 5x - 6$

Step-by-Step Solution

Key Concept: $p(x) = x^2 - S x + P = x^2 - (-5)x + 6 = x^2 + 5x + 6$.

$x^2 - (-5)x + 6 = x^2 + 5x + 6$. [1.0 Mark]

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🎯 Official CBSE Marking Scheme:
Applying formula $x^2 - S x + P$: 1.0 Mark

Correct Answer: $x^2 + 5x + 6$

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