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AveGali [126]
3 years ago
8

which property of polynomial multiplication says that the product of two polynomial is always a polynomial

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

  closure

Step-by-step explanation:

The property is actually a property <em>of the set of polynomials</em>, rather than a property of <em>multiplication</em>.

The set of polynomials is closed under the operation of multiplication. We call that property <em>closure</em>.

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Step-by-step explanation:

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1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

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