Question

10. Find the value of p if the value of x⁴– 3x³– px - 5 is equal to 23 when x = -2

Pls give w full explanation

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Answer 1

Step-by-step explanation:

${x}^{4} - 3 {x}^{3} - px - 5 = 23 \\ if \: x = - 2 \: \: \: \: \: = > \\ {( - 2)}^{4} - 3 {( - 2)}^{3} - p( - 2) - 5 = 23 \\ 16 + 24 + 2p - 5 - 23 = 0 \\ 2p = -12 \\ p = -6$

Answer 2

Answer:

p = -6

In equation put x = - 2 , value should be equal to 23.

${( - 2)}^{4} - 3( { - 2)}^{3} - p( - 2)- 5 = 23 \\ \\ 16 - 3( - 8) + 2p - 5 = 23 \\ \\ 16 + 24 + 2p - 5 = 23 \\ \\ 2p + 35 = 23 \\ \\ 2p = 23 - 35 = - 12 \\ \\ p = - 6$