Question

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

Answer 1

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

Answer 2

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

The standard form of a polynomial

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

• $P(x) = ax^3+bx^2+cx+d$

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;

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

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

Group the terms:

$P(x) = (-3x^2+2x^2+5x-4)\\P(x)=-x^2+5x - 4$

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

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