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Definition of Functions

If p x+2 =3...

Question

If $p (x + 2) = 3 x^{2} + 4 x + 1$ , then find the value of $p (x)$ .

p (x) = 3 x^{2} - 7 x + 3

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p (x) = 3 x^{2} - 8 x + 5

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p (x) = 3 x^{2} + 16 x + 9

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p (x) = 3 x^{2} + 16 x + 21

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Solution

The correct option is B $p (x) = 3 x^{2} - 8 x + 5$
Given, $p (x + 2) = 3 x^{2} + 4 x + 1$
$∴ p (x) = 3 (x - 2)^{2} + 4 (x - 2) + 1$ , .....replace $x$ by $x - 2$
$= 3 (x^{2} - 4 x + 4) + 4 x - 8 + 1$
$= 3 x^{2} - 8 x + 5$

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Similar questions

p (x) = x^{3} - 3 x^{2} + 2 x

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x = 2

p (x) = 2 x^{3} - 3 x^{2} + 4 x - 5

p (x)

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p (x) = 5 x^{3} - 3 x^{2} + 7 x - 9

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following:

(i)

(ii)

(iii)

p (x) = 2 x^{3} - 3 x^{2} + 4 x - 2

p (- 1)

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