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Rewrite the following polynomial in standard form 5x-4-3x²+2x²​

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Step-by-step explanation:

A polynomial function is in standard form if its terms are written in descending order of exponents from left to right.

3x−x⁴+5x³+2x²−5

=−x⁴+5x³+2x²+3x−5

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The standard form of the polynomial is expressed as [tex]P(x)=-x^2+5x - 4[/tex]

The standard form of a polynomial

The standard form of a polynomial is degree 3 is expressed as:

  • [tex]P(x) = ax^3+bx^2+cx+d[/tex]

Given the expression 5x-4-3x²+2x²​, we are to write it in standard form. The standard form is expressed as shown:

Collect the like terms;

[tex]5x-4-3x^2+2x^2[/tex]

[tex]-3x^2+2x^2+5x-4|\\[/tex]

Group the terms:

[tex]P(x) = (-3x^2+2x^2+5x-4)\\P(x)=-x^2+5x - 4[/tex]

Hence the standard form of the polynomial is expressed as [tex]P(x)=-x^2+5x - 4[/tex]

Learn more on polynomial here: https://brainly.com/question/4142886

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