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It'o and I are the 2exces of the polynom Hial f(x) = 2x² – 3x2 + ax + b then find the vakreof a and b |
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Answer» TION.0 and 1 are the zeroes of the polynomial,⇒ F(X) = 2x³ - 3x² + ax + b.As we know that,⇒ F(x) = 0.Put the VALUE of f(x) = 0 in equation, we get.⇒ f(x) = 2x³ - 3x² + ax + b.⇒ f(0) = 2(0)³ - 3(0)² + a(0) + b = 0.⇒ 0 - 0 + 0 + b = 0.⇒ b = 0.As we know that,⇒ F(x) = 1.Put the value of f(x) = 1 in equation, we get.⇒ F(x) = 2x³ - 3x² + ax + b.⇒ 2(1)³ - 3(1)² + a(1) + b = 0.⇒ 2 - 3 + a + b = 0.⇒ -1 + a + b = 0.⇒ a + b = 1.Put the value of b = 0 in equation, we get.⇒ a + 0 = 1.⇒ a = 1.Values of A = 1 & B = 0. |
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