हिंदी

If 3x2 – kx – 15 = (3x – 5)(x + 3), the value of k is ______. - Mathematics

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प्रश्न

If 3x2 – kx – 15 = (3x – 5)(x + 3), the value of k is ______.

विकल्प

  • 4

  • – 4

  • 3

  • – 3

MCQ
रिक्त स्थान भरें

उत्तर

If 3x2 – kx – 15 = (3x – 5)(x + 3), the value of k is – 4.

Explanation:

Given

3x2 – kx – 15 = (3x – 5)(x + 3)

= 3x(x + 3) – 5(x + 3)

= 3x2 + 9x – 5x – 15

= 3x2 + 4x – 15

On comparing the coefficient of x on both sides;

`\implies` – k = 4

`\implies` k = – 4

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