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If (x − 2)(x − 2) is a factor of x2−ax+4x2−ax+4 , then the value of 'a''a' is |
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Answer» pls MARK me as BRAIN listStep-by-step explanation:LET f(x)=x 3 −4x 2 +ax+b and g(x)=x 3 −ax 2 +bx+8 By factor theorem, f(2) and g(2) both are equal to 0. Thus, 2 3 −4×2 2 +2a+b=0 and 2 3 −2 2 a+2b+8=0 ∴ 8−16+2a+b=0 and 8−4a+2b+8=0 ∴ 2a+b=8 and −2a+b=−8 ∴ adding both equations, 2b=0 => b=0 ∴ a=4. |
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