Question

3x3-2x2-5x+17 is divided by (x+3)​

Answer 1

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$\rm \dag 3x^3−2x^2−5x+17(x+3)$

Distribute:

$\rm =3x^3+2x^2+−5x+(17)(x)+(17)(3)$

$\rm =3x^3+−2x^2+−5x+17x+51$

Combine Like Terms:

$\tt =3x^3+−2x^2+−5x+17x+51$

$\tt =(3x^3)+(−2x^2)+(−5x+17x)+(51)$

$\tt =3x^3+−2x^2+12x+51$

Answer:

$\tt =3x^3−2x^2+12x+51$