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In the polynomial p (x) = x2 + ax + b p (3 + √2 )= 0, p (3 – √2 ) = 0, write this polynomial after finding a and b. |
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Answer» p (x) = x2 + ax + b p(3 + √2) = 0, (x – 3 – √2) is a factor (1) p(3 – √2 ) = 0, ( x – 3 + √2) is a factor (1) p(x) = x + ax + b = (x – 3 – √2) (x – 3 + √2) = (x – 3)2 – ( √2)2 (1) x2 + ax + b = x – 6x + 7 (1) |
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