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Neko [114]
3 years ago
15

Which statement best describes the polynomial? -24x7 – 12x2 - 9x+6

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

a. It is in standard form because the exponents are in order from highest to lowest.

Complete question:

a. It is in standard form because the exponents are in order from highest to lowest.

b. It is in standard form because the coefficients are in order from highest to lowest.

c. It is not in standard form because the constant should be the first term.

d. It is not in standard form because it can be further simplified.

Step-by-step explanation:

-24x^7-12x^2-9x+6

A polynomial is in standard form when the exponents are in order from highest to lowest. In the given expression , the exponent is in order x^7 and then x^2 and then x and constant.

Standard form does not depends on the coefficient of each each.

The given polynomial is in standard form because the exponent are in order from highest to lowest.

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Please help, basic Algebra question
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Answer:

The given expression  (\frac{5}{6} a^{9}p^{5})  ^{3} = \frac{125}{216}  \times a^{(27) } \times p^{(15)}

Step-by-step explanation:

Here, the given expression is:  (\frac{5}{6} a^{9}p^{5})  ^{3}

Now, starting from the outer most bracket.

As we know :

(abc)^{n}   = (a)^{n} \times (b)^{n}  \times (c)^{n}

and (a^m)^{n} = a^{(m \times n)}

⇒ (\frac{5}{6} a^{9}p^{5})  ^{3} = (\frac{5}{6})^{3} \times (a^{9})^{3}   \times (p^{5}) ^{3}\\

=\frac{125}{216}  \times (a)^{(9\times3) } \times (p)^{(5 \times 3)}\\= \frac{125}{216}  \times a^{(27) } \times p^{(15)}

Hence, the given expression  (\frac{5}{6} a^{9}p^{5})  ^{3} = \frac{125}{216}  \times a^{(27) } \times p^{(15)}

7 0
3 years ago
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6 0
2 years ago
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3 years ago
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