Match each polynomial with Form of the polynomial. 4x+3x^2-5 3x+6x^3+7x^2 6x^2+8-9x^4

<p> <br /><br />Here we have three polynomials:<br /><br />1. $4 x+3 x^{2}-5$<br />2. $3 x+6 x^{3}+7 x^{2}$<br />3. $6 x^{2}+8-9 x^{4}$<br /><br />Our goal is to recognize the form of each of these polynomials.<br /><br />Polynomials are mathematical expressions involving a sum of powers in one or more variables(frequently x) multiplied by coefficients.<br /><br />There are three forms of polynomials: standard form and factored form.<br /><br />Here, we Trojanverse each polynomial:<br /><br />1. $4 x+3 x^{2}-5$<br /> In this polynomial,$4 x \ (4x)$ represents the First Degree Term, $3 x^{2} \ (3x^2)$ represents the Second Degree or Quadratic Term and $-5$ is called Constant.<br /> So, this polynomial is in the Standard Form (which is arranged in the form of decreasing power of x in each term from left to right).<br /><br /><br />2. $3 x+6 x^{³}+7 x^{²}$<br /> In this polynomial, $3 x \ (3x)$ yet again represents the First Degree Term like the previous and $6 x^{³} \ (6x^3)$ represents the Cubic Term $($ with power 3, highest above all in this polynomial $)$ and $7 x^{²}\ (7x^2)$ represents the Quadratic Term $($ with power 2 $)$.<br />So, this polynomial is in Standard Form.<br /><br /><br />3. $6 x^{²}+89x^{^4}$<br /> In this polynomial, the term $6 x^{²} \ (6x^2)$ is the Quadratic Term and $89x^{4}$ is the polynomial with Degree Four (aka The Quartic). This polynomial follows no specific form and needs to be further simplified.</p>