# Find the value of

Let f(x) = 5x3-7x2-ax-28 be the given polynomial.

From factor theorem,

If (x -4) is a factor of f (x) then f (4) = 0

f (4) = 0

0 = 5 (4)3 – 7 (4)2 – a (4) – 28

0 = 320 – 112 – 4a – 28

0 = 180 – 4a

4a = 180

a = 45

Hence, (x – 4) is a factor of f (x) when a = 45.

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