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Leto [7]
3 years ago
11

To write the polynomial −x^3 + x^4 + x − x^2 in standard form, which term should go first?

Mathematics
1 answer:
Goshia [24]3 years ago
8 0

Answer: OPTION D

Step-by-step explanation:

 To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.

Therefore, for the polynomial  -x^3 + x^4 + x - x^2, you can see that the term that thas the highest exponent is x⁴ (The quartic term).

Then, this polynomial written in Standard form is:

x^4 - x^3 - x^2+x

Therefore, the term that should go first is: the quartic term.

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The box to the left will have the equation p(x) = 5x² and the box to the right will have the equation n(x) = \frac{1}{5} x^{2}

Step-by-step explanation:

The coefficient of the x² decides how wide or narrow a quadratic graph is. If the coefficient is a fraction of 1, the smaller the fraction the wider the graph gets. If the coefficient is a number bigger than 1, the bigger the number, the narrower the graph gets.

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F(x) = 3x2 – x + 5; g(x) = 2x – 3. find f(x)-g(x)<br>​
Sonbull [250]

Answer:

f(x) - g(x) = 3x² - 3x + 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 3x² - x + 5

g(x) = 2x - 3

<u>Step 2: Find f(x) - g(x)</u>

  1. Substitute in function values:                                                                          f(x) - g(x) = 3x² - x + 5 - (2x - 3)
  2. [Distributive Property] Distribute negative:                                                    f(x) - g(x) = 3x² - x + 5 - 2x + 3
  3. [Subtraction] Combine like terms (x):                                                              f(x) - g(x) = 3x² - 3x + 5 + 3
  4. [Addition] Combine like terms:                                                                        f(x) - g(x) = 3x² - 3x + 8
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Y-intercept is of the graph is 0
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