Question

for what value of k , (x+5) is a factor of p(x) = x²+x+k

Answer 1

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p( x ) = x² + x + k


x + 5 is factor of p( x )


p( 5 ) = 0


=> 0 = ( 5 )² + 5 + k


=> 0 = 25 + 5 + k


=> 0 = 30 + k


=> k = - 30


$\bold{\boxed{k = - 30}}$




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