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यदि p(x) = x2 – 4x + 3 है, तो p(2)-p(-1)+p(12) का मान निकालिए। - Mathematics (गणित)

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Question

यदि p(x) = x2 – 4x + 3 है, तो `p(2) - p(-1) + p(1/2)` का मान निकालिए।

Sum

Solution

दिया गया है, p(x) = x2 – 4x + 3

अब, p(2) = (2)2 – 4 × 2 + 3

= 4 – 8 + 3

= –1

p(–1) = (–1)2 – 4(–1) + 3

= 1 + 4 + 3

= 8

तथा `p(1/2) = (1/2)^2 - 4 xx 1/2 + 3`

= `1/4 - 2 + 3`

= `(1 - 8 + 12)/4`

= `5/4`

∴ `p(2) - p(-1) + p(1/2) = -1 - 8 + 5/4`

= `-9 + 5/4`

= `(-36 + 5)/4`

= `(-31)/4`

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बहुपद
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Chapter 2: बहुपद - प्रश्नावली 2.3 [Page 19]

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NCERT Exemplar Mathematics [Hindi] Class 9
Chapter 2 बहुपद
प्रश्नावली 2.3 | Q 8. | Page 19
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