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निम्न व्यंजकों के गुणनखण्ड ज्ञात कीजिए।1. x2 + 7x + 122. x2 – 14x + 483. x2 – 7x – 18 |
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Answer» 1. x2 + 7x + 12 = x2 + (3 + 4)x + 12 (12 = 3 × 4) = x2 + 3x + 4x + 12 = x(x + 3) + 4(x + 3) = (x + 3)(x + 4) 2. x2 – 14x + 48 = x2 – (6 + 8)x + 48 (48 = 6 × 8) = x2 – 6x – 8x + 48 = x(x – 6) – 8(x – 6) = (x – 6)(x – 8) 3. x2– 7x – 18 = x2 – (9 – 2)x – 18 = x2 – 9x + 2x – 18 = x(x – 9) + 2(x – 9) = (x – 9)(x + 2) |
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