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Let p(x) be a polynomial of degree 6 wit...

Let `p(x)` be a polynomial of degree 6 with leading coefficient unity and `p(-x)=p(x)AAxepsilonR`.
Also `(p(1)+3)^(2)+p^(2)(2)+(p(3)-5)^(2)=0` then `sqrt(-4-p(0))` is….

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To solve the problem step by step, we will follow the reasoning outlined in the video transcript. ### Step 1: Understand the properties of the polynomial Given that \( p(x) \) is a polynomial of degree 6 with a leading coefficient of 1, we can express it as: \[ p(x) = x^6 + ax^4 + bx^2 + c \] where \( a, b, c \) are constants. The polynomial is even, which means \( p(-x) = p(x) \).
To solve the problem step by step, we will follow the reasoning outlined in the video transcript. ### Step 1: Understand the properties of the polynomial Given that \( p(x) \) is a polynomial of degree 6 with a leading coefficient of 1, we can express it as: \[ p(x) = x^6 + ax^4 + bx^2 + c \] where \( a, b, c \) are constants. The polynomial is even, which means \( p(-x) = p(x) \).
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