$p (x) = 3 x^{2} - x^{2} + 2 x - 5$ $p(x)=3x^2-x^2+2x-5$ , what is $p (x)$ $p(x)$ when $x = - 2$ $x=-2$ and $x = 3$ $x=3$ ?

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$p (x) = 3 x^{2} - x^{2} + 2 x - 5$ $p(x)=3x^2-x^2+2x-5$ , what is $p (x)$ $p(x)$ when $x = - 2$ $x=-2$ and $x = 3$ $x=3$ ?

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Answer 1 · 2017-03-29T12:39:23

$p (- 2) = - 37 and p (3) = 73$ $p(-2)=-37" and " p(3)=73$

Explanation:

To evaluate p( -2 ) and p( 3 ) substitute x = - 2 and x = 3
into p( x )

$\Rightarrow p (- 2) = 3 {(- 2)}^{3} - {(- 2)}^{2} + 2 (- 2) - 5$ $rArrp(color(red)(-2))=3(color(red)(-2))^3-(color(red)(-2))^2+2(color(red)(-2))-5$

$\Rightarrow p (- 2) = (3 \times - 8) - (+ 4) + (2 \times - 2) - 5$ $color(white)(rArrp(-2))=(3xx-8)-(+4)+(2xx-2)-5$

$\Rightarrow p (- 2) = - 24 - 4 - 4 - 5$ $color(white)(rArrp(-2))=-24-4-4-5$

$\Rightarrow p (- 2) = - 37$ $color(white)(rArrp(-2))=-37$

$\Rightarrow p (3) = 3 {(3)}^{3} - {(3)}^{2} + 2 (3) - 5$ $rArrp(color(magenta)(3))=3(color(magenta)(3))^3-(color(magenta)(3))^2+2(color(magenta)(3))-5$

$\Rightarrow p (3) = (3 \times 27) - 9 + 6 - 5$ $color(white)(rArrp(3))=(3xx27)-9+6-5$

$\Rightarrow p (3) = 81 - 9 + 6 - 5$ $color(white)(rArrp(3))=81-9+6-5$

$\Rightarrow p (3) = 73$ $color(white)(rArrp(3))=73$

Answer 2 · 2017-03-29T12:52:40

$p (- 2) = - 37 and p (3) = 73$ $p(-2)=-37 and p(3)=73$

Explanation:

This is an function, which means that all values of $x$ $x$ would satisfy the equation.

When $x = - 2$ $x=-2$ ,

$p (- 2) = 3 {(- 2)}^{3} - {(- 2)}^{2} + 2 (- 2) - 5$ $p(-2)=3(-2)^3-(-2)^2+2(-2)-5$
$\times x / . = - 24 - 4 - 4 - 5$ $color(white)(xxx//.)=-24-4-4-5$
$\times x / . = - 37$ $color(white)(xxx//.)=-37$

When $x = 3$ $x=3$ ,

$p (3) = 3 {(3)}^{3} - {(3)}^{2} + 2 (3) - 5$ $p(3)=3(3)^3-(3)^2+2(3)-5$
$x / . = 81 - 9 + 6 - 5$ $color(white)(x//.)=81-9+6-5$
$x / . = 73$ $color(white)(x//.)=73$

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$p (x) = 3 x^{2} - x^{2} + 2 x - 5$ $p(x)=3x^2-x^2+2x-5$ , what is $p (x)$ $p(x)$ when $x = - 2$ $x=-2$ and $x = 3$ $x=3$ ?

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p(x)=3x2−x2+2x−5p(x)=3x^2-x^2+2x-5, what is p(x)p(x) when x=−2x=-2 and x=3x=3?

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$p (x) = 3 x^{2} - x^{2} + 2 x - 5$ $p(x)=3x^2-x^2+2x-5$ , what is $p (x)$ $p(x)$ when $x = - 2$ $x=-2$ and $x = 3$ $x=3$ ?