Question

If
$f(a)$
denote a polynomial of Degree 3 . Suppose
$f(a + 2) - f(a) = {a}^{2} + 4a + 4$
And,
$f(a) = 12$
Find the Value Of a.

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Answer 1

Answer:

the value of a is 15

Step-by-step explanation:

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Answer 2

f(x+2)−f(x) = x2+4x+4

Putting x = 1 we have;

f(1+2)−f(1) = 12+4×1+4⇒f(3)−f(1) = 9⇒f(3)− 9 = 9 {since; f(1) = 9}⇒f(3) = 9+9 = 18

Therefore, the value of f(3) is 18.