sendo a expressões polinomiais f(x)=2x2-3x+4 g(x)=x3-x determina f(x).g(x)
Selenito:
2x² ou 2x2? x³ ou x3?
Soluções para a tarefa
Respondido por
7
Boa noite!
Solução!
![f(x)=2 x^{2} -3x+4\\\\\\\
g(x)= x^{3}-3](https://tex.z-dn.net/?f=f%28x%29%3D2+x%5E%7B2%7D+-3x%2B4%5C%5C%5C%5C%5C%5C%5C%0Ag%28x%29%3D+x%5E%7B3%7D-3+ "f(x)=2 x^{2} -3x+4\\\\\\\
g(x)= x^{3}-3")
![f(x) \times g(x)\\\\\\\
(2 x^{2} -3x+4)\times(x^{3}-3)
2 x^{5}-6 x^{2} -3 x^{4} -9x+4 x^{3} -12\\\\\\\
Organizando~~os~~expoentes~~em~~forma~~decrescente.\\\\\\\\\
\boxed{ Resp=2 x^{5}-3 x^{4}+4 x^{3}-6 x^{2} -9x-12}](https://tex.z-dn.net/?f=f%28x%29+%5Ctimes+g%28x%29%5C%5C%5C%5C%5C%5C%5C%0A%282+x%5E%7B2%7D+-3x%2B4%29%5Ctimes%28x%5E%7B3%7D-3%29%0A2+x%5E%7B5%7D-6+x%5E%7B2%7D+-3+x%5E%7B4%7D+-9x%2B4+x%5E%7B3%7D++-12%5C%5C%5C%5C%5C%5C%5C%0AOrganizando%7E%7Eos%7E%7Eexpoentes%7E%7Eem%7E%7Eforma%7E%7Edecrescente.%5C%5C%5C%5C%5C%5C%5C%5C%5C%0A%5Cboxed%7B+Resp%3D2+x%5E%7B5%7D-3+x%5E%7B4%7D%2B4+x%5E%7B3%7D-6+x%5E%7B2%7D+-9x-12%7D++ "f(x) \times g(x)\\\\\\\
(2 x^{2} -3x+4)\times(x^{3}-3)
2 x^{5}-6 x^{2} -3 x^{4} -9x+4 x^{3} -12\\\\\\\
Organizando~~os~~expoentes~~em~~forma~~decrescente.\\\\\\\\\
\boxed{ Resp=2 x^{5}-3 x^{4}+4 x^{3}-6 x^{2} -9x-12}")
Boa noite!
Solução!
Boa noite!
g(x) = x³ - x e não g(x) = x³ - 3
Respondido por
0
f(x) = 2x² - 3x + 4 e g(x) = x³ - x
f(x).g(x) = (2x² - 3x + 4)(x³ - x)
f(x).g(x) = 2x².x³ - 2x².x - 3x.x³ -3x.x + 4.x³ - 4.x
f(x).g(x) = 2x⁵ - 2x³ - 3x⁴ + 3x² + 4x³ - 4x
f(x).g(x) = 2x⁵ - 3x⁴ + 2x³ + 3x² - 4x
f(x).g(x) = (2x² - 3x + 4)(x³ - x)
f(x).g(x) = 2x².x³ - 2x².x - 3x.x³ -3x.x + 4.x³ - 4.x
f(x).g(x) = 2x⁵ - 2x³ - 3x⁴ + 3x² + 4x³ - 4x
f(x).g(x) = 2x⁵ - 3x⁴ + 2x³ + 3x² - 4x
Perguntas interessantes