Question

If p=-2 find the value -2p³-3p²+4p+7

Answer 1

Things to do:

1. Firstly, write down the given expression.

2. Put the values in place.

3. Simplify accordingly.

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1. GIVEN EXPRESSION


`-2p^(3) -3p^(2)+4p+7`

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2. PUTTING THE VALUES IN PLACE

Values : (
`p=-2`)

So,


`[-2*(-2)]^(3)+[-3*(-2)]^(2)+[4*(-2)]+7`

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3. SIMPLIFICATION PROCESS


`[-2*(-2)]^(3)+[-3*(-2)]^(2)+[4*(-2)+7]`

= 
`(4)^(3)+(6)^(2)+(-8)+7`

=
`(4*4*4)+(6*6)-8+7`

=
`64+36-8+7`

= 
`64+36+7-8`

=
`(64+36+7)-8`

=
`(100+7)-8`

=
`(107)-8`

=
`107-8`

= 
`99`

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So, after completing all the steps, we can conclude that the value of
`-2p^(3) -3p^(2)+4p+7` is 99.

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Answer 2

-2 ( -2 ) ^3 -3 (-2) ^2 + 4(-2) +7⇒ -2 ( -2 ) -3 (2) -8 +7 = 4 -6 -8 +7 = -3 :))