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Sagot :
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
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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