The polynomial p (x) = (x - 2)² + 5 assumes the least value at x = k, where x-k is a factor of q (x) = x2 – 3x + t . Then,
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(x-2) is the factor
x= 2
put value of x in equation
2x-3x+k=o
2(2)-3(2)+k=o
4-6+k=0
-2=-k
k=2
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