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Learning task 2: A. Divide each of the following: using the two methods

A. Divide each of the following: using the two methods is (synthetic division and Long term Division)

1. (x2 - 7x + 10) = (x - 5)
2. (x2 + x -20) = (x - 4)
3. (x3 + 3x2 + 5x + 3) = (x + 1)
4. (2x3 - 18x - 45 + 5x2) = (x + 5)
5. (3x2 + 7x3 + 11x - 4) = (x + 2)
B. Write the dividend , P(x) in P(x) = D(x)[Q(x)] + R of the above items.​


Sagot :

1. (x2-7x+10)=(x-5)

  • Subtract x from both sides.

[tex] \times 2 - 7x + 10 - x = - 5[/tex]

  • Combine -7x and -x to get -8x.

[tex] \times 2 - 8x + 10 = - 5[/tex]

  • Subtract ×2 from both sides.

[tex] - 8x + 10 = - 5 - \times 2[/tex]

  • Subtract 10 from both sides.

[tex] - 8x = - 5 - \times 2 - 10[/tex]

  • Subtract 10 from -5 to get -15

[tex] - 8x = - 15 - \times 2[/tex]

  • The equation is in standard form.

[tex] - 8x = - \times 2 - 15[/tex]

  • Divide both sides by -8.

[tex] \frac{ - 8x}{ - 8} = \frac{ - \times 2 - 15}{ - 8} [/tex]

  • Dividing by -8 undoes the multiplication by -8.

[tex]x = \frac{ - \times 2 - 15}{ - 8} [/tex]

  • Divide -15-×2 by 8.

[tex]x = \frac{ \times 2 + 15}{8} [/tex]

  • Answer

[tex] \times 2 = 8x - 15[/tex]

Study hard! Sana makatulong :) gayahin niyo lang ung steps para masagutan ang iba pa :) Goodluck!