Let p x be a quadratic polynomial such that p 0 = 1 . If p x leaves remainder 4 when divided by x - 1 and it leaves remainder 6 when divided by x + 1 then:

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Aicharya · Accepted Answer

Assume , p x = a x 2 + b x + c Given , p 0 = 1 &#8658; c = 1 Now, p 1 = 4 p - 1 = 6 a + b + c &#160; = 4 a - b + &#160; c = 6 &#8658; a + b + 1 &#160; = 4 a - b + 1 = 6 &#160; a + b &#160; = 3 a - b = 5 &#160; &#8658; &#160; &#160; &#160; a = 4 &#160; &#160; &#160; &#160; &#160; &#160; b = - 1 p x = 4 x 2 - x + 1 p - 2 = 16 + 2 + 1 = 19

Let p x be a quadratic polynomial such that p 0 = 1 . If p x leaves remainder 4 when divided by x - 1 and it…

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