f(x ) is the factor of the polynomi...
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f(x ) is the factor of the polynomial x x* and xerxen, prove that MD

11th - 12th Class
Maths
Solution
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[ begin{aligned} text { let } f(x) &=x^{2}+p x+q g(x) &=x^{2}+m x+n end{aligned} ] ( f(x), g(x) ) have a factor ( 18(x+a) ) then [ begin{array}{c} f(-a)=(-a)^{2}+p(-a)+q=0 a^{2}-p a+q=0 quad-(1 g(-a)=a^{2}-m a+n=0 end{array} ] from ( (1)=0 ) ( a^{x}-p a+q=a^{2}-m a+n ) [ begin{array}{c} m a-p a=n-q a(m-p)=n-q a=n-q end{array} ] i-p
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