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2 multiple choice 1 point put the polynomial in standard form: $5x - 3x…

Question

2 multiple choice 1 point put the polynomial in standard form: $5x - 3x^2 + 7x^4 + x^3 - 2$ $5x^4 + 5x - 2$ $7x^4 + x^3 - 3x^2 + 5x - 2$ $-2 + 5x - 3x^2 + x^3 + 7x^4$ $7x^4 - 3x^2 + 5x + x^3 - 2$

Explanation:

Step1: Recall standard polynomial form

Standard form of a polynomial arranges terms in descending order of the exponent of the variable.

Step2: Identify term exponents

The terms and their exponents:

  • $7x^4$ (exponent 4)
  • $x^3$ (exponent 3)
  • $-3x^2$ (exponent 2)
  • $5x$ (exponent 1)
  • $-2$ (exponent 0)

Step3: Arrange terms descendingly

Order terms from highest to lowest exponent:
$7x^4 + x^3 - 3x^2 + 5x - 2$

Answer:

7$x^4 + x^3 - 3x^2 + 5x - 2$