A number x when divided by 7 leaves a remainder 4. If the expression (x^2 + 8x + 24) is divided by 7, then find the remainder.
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Answer:
1 is the answer bro. And the x is 3
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Given : A number x when divided by 7 leaves a remainder 4.
the expression (x^2 + 8x + 24) is divided by 7,
To find : the remainder
Solution:
A number x when divided by 7 leaves a remainder 4
=> x = 7k + 4
(x² + 8x + 24)
= (7k + 4)² + 8(7k + 4) + 24
= 49k² + 56k + 16 + 56k + 32 + 24
= 49k² + 112k + 72
= 49k² + 112k + 70 + 2
= 7( 7k² + 16k + 10) + 2
Hence when divided by 7 remainder = 2
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