Question

1.O quociente da divisão de P(x) = x4 – 2x3 + x² + x + 2 por q(x) = x + 1 é: (2,0)

a) x³ – 3x² + 4x +3

b) x³ – 3x² + 4x - 2

c) x³ – 3x² + 4x - 3

d) x³ – 3x² + 4x - 1

e) N.R.A

2. Qual o resto da divisão do polinômio 2x2 + x + 2 por x + 2 ? (2,0)

a) 11

b) 12

c) 13

d) 8

e) N.R.A

3. O quociente da divisão de x3 – 7x2 +6x – 2 por x +2 é: (2,0)

a) x² – 9x + 24

b) x2 – 4x + 4

c) x2 – 5x + 6

d) x3 – x2 + 1

e) N.R.A

4. O resto da divisão de x2 + 5x + 1 por x – 1 é: (2,0)

a) 1

b) 7

c) 0

d) 9

e) N.R.A

5. O resto da divisão de 2x2 + 5x + 1 por x – 2 é: (2,0)

a) 17

b) 12

c) 15

d) 19

e) N.R.A

Answer 1

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$\large\green{\boxed{\rm~~~\red{ 1)~c)}~\blue{ x^3 - 3x^2 + 4x - 3 }~~~}}$

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$\large\green{\boxed{\rm~~~\red{ 2)~d)}~\blue{ 8 }~~~}}$

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$\large\green{\boxed{\rm~~~\red{ 3)~a)}~\blue{ x^2 - 9x + 24 }~~~}}$

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$\large\green{\boxed{\rm~~~\red{ 4)~b)}~\blue{ 7 }~~~}}$

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$\large\green{\boxed{\rm~~~\red{ 5)~d)}~\blue{ 19 }~~~}}$

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$\bf\large\green{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad}}$

$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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☺lá, Wendel, como tens passado nestes tempos de quarentena⁉ E os estudos à distância, como vão⁉ Espero que bem❗ Acompanhe a resolução abaixo. ✌

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1)$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ (x^4 - 2x^3 + x^2 + x + 2) \div (x + 1)}}}$

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$\blue{\left[\begin{array}{cclcc|lcccr}x^4&-2x^3&+x^2&+x&+2&x&+1&&\\&&&&&&&&\\-x^4&-x^3&&&&\green{\boxed{\blue{\sf x^3}}}&&&\\&&&&&&&&\\&-3x^3&+x^2&+x&+2&&&&\\&&&&&&&&\\&+3x^3&+3x^2&&&&\green{\boxed{\blue{\sf -3x^2}}}&&\\&&&&&&&&\\&&4x^2&+ x&+2&&&&\\&&&&&&&&\\&&-4x^2&-4x&&&&\green{\boxed{\blue{\sf +4x}}}&\\&&&&&&&&\\&&&-3x&+2&&&&\\&&&&&&&&\\&&&+3x&+3&&&&\green{\boxed{\blue{\sf -3}}}\\&&&&&&&&\\&&&&5&&&&\end{array}\right]}$

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$\large\green{\boxed{\rm~~~\red{ 1)~c)}~\blue{ x^3 - 3x^2 + 4x - 3 }~~~}}$ ✅

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2)$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ (2x^2 + x + 2) \div (x + 2) }}}$

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$\blue{\left[\begin{array}{ccr|cc}\\2x^2&+x&+2&x&+2\\&&&&\\-2x^2&-4x&&2x&\\&&&&\\&-3x&+2&&\\&&&&\\&+3x&+6&&-3\\&&&&\\&&\green{\boxed{\blue{\sf 8}}}&& \end{array}\right]}$

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$\large\green{\boxed{\rm~~~\red{ 2)~d)}~\blue{ 8 }~~~}}$ ✅

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3)$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ (x^3 - 7x^2 + 6x - 2) \div (x + 2) }}}$

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$\blue{\left[\begin{array}{lccc|ccr}x^3&-7x^2&+6x&+0&x&+2\\&&&&&&\\-x^3&-2x^2&&&\green{\boxed{\blue{\sf x^2}}}&&\\&&&&&&\\&-9x^2&+6x&&&&\\&&&&&&\\&+9x^2&+18x&&&\green{\boxed{\blue{\sf -9x}}}&\\&&&&&&\\&&24x&+0&&&\\&&&&&&\\&&-24x&-48&&&\green{\boxed{\blue{\sf +24}}}\\&&&&&&\\&&&-48&&&\end{array}\right]}$

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$\large\green{\boxed{\rm~~~\red{ 3)~a)}~\blue{ x^2 - 9x + 24 }~~~}}$ ✅

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4)$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ (x^2 + 5x + 1) \div (x - 1) }}}$

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$\blue{\left[\begin{array}{ccr|cc}\\x^2&+5x&+1&x&-1\\&&&&\\-x^2&+x&&x&\\&&&&\\&6x&+1&&\\&&&&\\&-6x&+6&&6\\&&&&\\&&\green{\boxed{\blue{\sf 7}}}&& \end{array}\right]}$

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$\large\green{\boxed{\rm~~~\red{ 4)~b)}~\blue{ 7 }~~~}}$ ✅

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5)$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ (2x^2 + 5x + 1) \div (x -  2) }}}$

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$\blue{\left[\begin{array}{ccr|cc}\\2x^2&+5x&+1&x&-2\\&&&&\\-2x^2&+4x&&2x&\\&&&&\\&9x&+1&&\\&&&&\\&-9x&+18&&9\\&&&&\\&&\green{\boxed{\blue{\sf 19}}}&& \end{array}\right]}$

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$\large\green{\boxed{\rm~~~\red{ 5)~d)}~\blue{ 19 }~~~}}$ ✅

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\large\blue{Bons\ estudos.}$

($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}$