Divide

[tex] {2t}^{4} + {3t}^{3} – {2t}^{2} – 9t – 12 \: by \: {t}^{2} – 3[/tex]

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Divide

[tex] {2t}^{4} + {3t}^{3} – {2t}^{2} – 9t – 12 \: by \: {t}^{2} – 3[/tex]

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Remi

2 thoughts on “Divide<br /><br />[tex] {2t}^{4} + {3t}^{3} – {2t}^{2} – 9t – 12 \: by \: {t}^{2} – 3[/tex]<br />​”

  1. Answer:

    [tex]\mathtt{SOLUTION:-}[/tex]

    [tex] \mathtt \purple{ {t}^{2} – 3) {2t}^{4} + {3t}^{3} – {2t}^{2} – 9t – 12( {2t}^{2} + 3t + 4 } \\[/tex]

    [tex]\mathtt \purple{{2t}^{4} \: \: \: \: \: \: \: – 6 {t}^{2} } \\ \mathtt \purple{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {3t}^{3} + {4t}^{2} – 9t – 12} [/tex]

    [tex]\mathtt\purple{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {3t}^{3} \: \: \: \: \: \: \: \: \: \: \: – 9t}[/tex]

    [tex] \mathtt \purple{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {4t}^{2} \: \: \: \: \: \: \: \: \: \: – 12}[/tex]

    [tex]\mathtt\purple{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {4t}^{2} \: \: \: \: \: \: \: \: \: \: – 12}[/tex]

    [tex] \mathtt{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 0}[/tex]

    [tex]\mathtt{REMAINDER=0}[/tex]

    [tex]\mathtt{QUOTIENT= {2t}^{2} + 3t + 4}[/tex]

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  2. Step-by-step explanation:

    [tex]{2t}^{4} + {3t}^{3} – {2t}^{2} – 9t – 12 \: by \: {t}^{2} – 3 \\ ({5t}^{2}) ^{7} – {2t}^{2} – 9t – 12

    [/tex]

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