Diketahui polinomial p(x) = 2x4 - 5x4 + mx + 2m. Jika nilai p(2) = -8, nilai p(-2) adalah ....
Jawaban:
[tex]p(2) = 2. ({2})^{4} - 5. ({2})^{4} + m(2 )+ 2m \\ - 8 = 32 - 80 + 2m + 2m \\ - 8 - 32 + 80 = 4m \\ 40 = 4m \\ \frac{40}{4} = m \\ 10 = m \\ p(x) = 2 {x}^{4} - 5 {x}^{4} + 10x + 20 \\ p( - 2) = 2. ({ - 2})^{4} - 5. ({ - 2)}^{4} + 10( - 2) + 20 \\ p( - 2) = 32 - 80 - 20 + 20 \\ p( - 2) = - 48[/tex]
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