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devlian [24]
3 years ago
12

Which polynomial is in standard form?

Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

D). 5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

Step-by-step explanation:

For better clarity let us re write the options

A).2xy^3+3x^3y^4-4x^4y^5+9x^5y^6

B).8x^5-5y^4-2xy^5+x^2y

C).x^3y^2-3x^2y-9x^4y^3+11x

D).5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

To express polynomial with mixed variables in standard form, we begin by the highest coefficient of x to the smallest (we place high precedence on the coefficient  x terms)

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Answer:

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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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

-2(x + 5) = -2(x - 2) + 5

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute -2:                    -2x - 10 = -2x + 4 + 5
  2. Add:                                  -2x - 10 = -2x + 9
  3. Add 2x on both sides:     -10 ≠ 9

Here we see that -10 does not equal 9.

∴ x = no solutions.

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