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Factorisation by Common Factors

Find the valu...

Question

Find the value of $P (2)$ where $P (x) = 4 x^{3} - 7 x^{2} + 4 x + 7$

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Solution

Consider the given polynomial.
$P (x) = 4 x^{3} - 7 x^{2} + 4 x + 7$

Put $x = 2$ , we get
$P (2) = 4 (2)^{3} - 7 (2)^{2} + 4 (2) + 7$
$P (2) = 4 (8) - 7 (4) + 8 + 7$
$P (2) = 32 - 28 + 8 + 7$
$P (2) = 47 - 28$
$P (2) = 19$

Hence, this is the answer.

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