(x² - 7x+k)is exactly divisible by (x-4) then the value of k is
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Answer:
factorofx
2
−5x+4
=(x−1)(x−4)
hencex=1and4arezeroofgivenpolynomial
∴P(1)=01−5+1+k−12=0
ork=12+3=15
andP(4)=0
256−320+16+4k−12=0
4k=+60
∴k=15
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