If (x − 2)(x − 2) is a factor of x2−ax+4x2−ax+4 , then the value of 'a''a' is

If (x − 2)(x − 2) is a factor of x2−ax+4x2−ax+4

1.	If (x − 2)(x − 2) is a factor of x2−ax+4x2−ax+4 , then the value of 'a''a' is
Answer» <html><body><p>pls <a href="https://interviewquestions.tuteehub.com/tag/mark-555248" style="font-weight:bold;" target="_blank" title="Click to know more about MARK">MARK</a> me as <a href="https://interviewquestions.tuteehub.com/tag/brain-903433" style="font-weight:bold;" target="_blank" title="Click to know more about BRAIN">BRAIN</a> listStep-by-step explanation:<a href="https://interviewquestions.tuteehub.com/tag/let-11597" style="font-weight:bold;" target="_blank" title="Click to know more about LET">LET</a> f(x)=x <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> −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.</p></body></html>