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Algebra
Algebra II

Indicate whether the expression defines a polynomial function.
$P (x) = - x^{2} + 3 x + 3$
polynomial or not a polynomial
If it is a polynomial function, identify the following. (If it is not a polynomial function, enter DNE for all three answers.)
(a) Identify the leading coefficient.
(b) Identify the constant term.
(c) State the degree.

Lennie Carroll 2021-08-07

Sketch a graph of the function. Use transformations of functions whenever possible. $f (x) = - | x |$

FobelloE 2021-08-07

To find:
The real zeros of polynomial function form an arithmetic sequaence
$f (x) = x^{4} - 4 x^{3} - 4 x^{2} + 16 x$

Jaya Legge 2021-08-07

To calculate: The coefficient and the degree of each term of the polynomial $8 - x^{2} y^{4} + y^{7}$ and then find the degree of the polynomial.

smileycellist2 2021-08-07

The radical expression must be solved using exponents. Exponential, decide with radicals.
$2^{- 1.5}$

Chesley 2021-08-07

Rewrite the expression using rational exponents.
$\sqrt[4]{x^{3}}$

Kaycee Roche 2021-08-07

To calculate: $\frac{(9 a^{3} b^{4})^{\frac{1}{2}}}{15 a^{2} b}$

York 2021-08-06

To calculate: The coefficient and the degree of each term of the polynomial $18 x^{2} + 36 x^{9} - 7 x + 3$ and then find the degree of the polynomial.

Chaya Galloway 2021-08-06

For the following exercises, use a graphing utility to create a scatter diagram of the data given in the table. Observe the shape of the scatter diagram to determine whether the data is best described by an exponential, logarithmic, or logistic model. Then use the appropriate regression feature to find an equation that models the data. When necessary, round values to five decimal places.
$\begin{array}{ccccccccc} x & 0 & 0.5 & 1 & 1.5 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ f (x) & 2.2 & 2.9 & 3.9 & 4.8 & 6.4 & 9.3 & 12.3 & 15 & 16.2 & 17.3 & 17.9 \end{array}$

allhvasstH 2021-08-06

To find:
The product of two polynomials $(t + 2)$ and $(3 t^{2} - t + 4)$ using indicated operation.

zi2lalZ 2021-08-06

DISCUSS: Degrees of Sums and Products of Polynomials Make up several pairs of polynomials, then calculate the sum and product of each pair. On the basis of your experiments and observations, answer the following questions.
(a) How is the degree of the product related to the degrees of the original polynomials?
(b) How is the degree of the sum related to the degrees of the original polynomials?
(c) Test your conclusions by finding the sum and product of the following polynomials:
$2 x^{3} + x - 3$ and $- 2 x^{3} - x + 7$

Rui Baldwin 2021-08-06

To calculate: $\sqrt{\frac{3 y}{20}}$
The single radical of the expression.

Ernstfalld 2021-08-06

To calculate: $\sqrt{\frac{x}{8}}$
The simplified value of the radical expression.

Jerold 2021-08-06

Formulate a real-life problem that apply concept of exponents and radicals.

Dillard 2021-08-06

Consider the polynomial $2 x^{3} - 3 x^{2} + x^{5}$ Which of the following statements about the polynomial are not correct?
a) The standard form of the polynomial is $x^{5} + 2 x^{3} - 3 x^{2}$ .
b) The polynomial is a trinomial.
c) The polynomial is quintic.
d) The polynomial has a linear term.

necessaryh 2021-08-06

Determine whether the given sequence could be geometric, arithmetic, or neither.
If possible, identify the common ratio or difference.
$9, 13, 17, 21, \dots$
a) arithmetic: $d = 4$
b) arithmetic: $r = 4$
c) arithmetic: $r = \frac{1}{4}$
d) neither

Jerold 2021-08-05

To determine: The single radical of the expression
$\sqrt[3]{y \sqrt[3]{y \sqrt[3]{y}}}$

Clifland 2021-08-05

The simplified value of the expression $\frac{\sqrt[3]{5 x^{5} y}}{\sqrt[3]{625 x^{2} y^{4}}}$

kuCAu 2021-08-05

Exponentials of an Arithmetic Sequence, If $a_{1}, a_{2}, a_{3}, \dots$ is an arithmetic sequence with common difference d, show that the sequence $10^{a_{1}}, 10^{a_{2}}, 10^{a_{3}}, \dots$ is a geometric sequence, and find the common ratio.

geduiwelh 2021-08-05

To find: The square of a polynomial ${(3 k - 5 m)}^{2}$ using indicated operation

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