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LenaWriter [7]
2 years ago
15

Solve. −1.2z − 8.2 > −9.7

Mathematics
1 answer:
leonid [27]2 years ago
3 0
<span>−1.2z − 8.2 > −9.7</span>
−1.2z > - 1.5
  z < 1.25


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Apply division algorithm to find the quotient and remainder on dividing the polynomial 3 x^ + 4 x^ square + 6 x + 9 by x^ + 3x +
Ulleksa [173]

I suppose you mean

\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}

3x^3=3x\cdot x^2, and if we multiply x^2+3x+7 by 3x we get 3x^3+9x^2+21x. Subtracting this from the numerator gives a remainder of -5x^2-15x+9.

-5x^2=-5\cdot x^2, and multiplying x^2+3x+7 by -5 gives -5x^2-15x-35. Subtracting this from the previous remainder gives a new remainder of 44.

44 has no remaining factors of x^2 in it, so we're done, and

\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}=\underbrace{3x-5}_{\rm quotient}+\dfrac{\overbrace{44}^{\rm remainder}}{x^2+3x+7}

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3 years ago
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inn [45]

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6 0
3 years ago
Read 2 more answers
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