Question

URGENTE transforme em polinomio reduzido: 1) 2x³-5x²+7x-4-x³

2) a+2ab-5a-6ab

3) y⁴+3y³-2y⁴-4y²+5y³​

Answer 1

Para reduzir o polinômio, some ou subtraia os coeficientes das letras iguais

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1 )

$\Rightarrow~2x^3 - 5x^2+ 7x - 4 - x^3$

$\Rightarrow~(2x^3-x^3) - 5x^2+ 7x - 4$

$\Rightarrow~(2-1)x^3 - 5x^2+ 7x - 4$

$\therefore~\boxed{x^3 - 5x^2+ 7x - 4}$

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2 )

$\Rightarrow~a + 2ab - 5a - 6ab$

$\Rightarrow~(a-5a) + (2ab-6ab)$

$\Rightarrow~(1-5)a + (2-6)ab$

$\therefore~\boxed{-4a-4ab}$

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3 )

$\Rightarrow~y^4+3y^3-2y^4-4y^2+5y^3$

$\Rightarrow~(y^4-2y^4)+(3y^3+5y^3)-4y^2$

$\Rightarrow~(1-2)y^4+(3+5)y^3-4y^2$

$\therefore~\boxed{-y^4+8y^3-4y^2}$