Agetive 2-Polynomials Mrs Assessment Consider the polynomial 6x-7x^3-2x^5 e) Write the polynomial in standard form: __ B How many terms s are in the polynomial? __ soit is called a __ g) What is the degree of the polynomial? __ __ __ b) What is the leading coefficient? __ __ __ Find the quctient 4m^7-20m^4+30m^5 Stowallack

## Step 1<br />The standard form of a polynomial is when the terms are written in descending order by degree. So, the polynomial \(6x-7x^{3}-2x^{5}\) in standard form is \(-2x^{5} - 7x^{3} + 6x\).<br /><br />## Step 2<br />The number of terms in a polynomial is simply the number of monomials (single terms) it contains. In this case, the polynomial \(-2x^{5} - 7x^{3} + 6x\) has three terms.<br /><br />## Step 3<br />A polynomial with three terms is called a trinomial.<br /><br />## Step 4<br />The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the highest power of \(x\) is 5, so the degree of the polynomial is 5.<br /><br />## Step 5<br />The leading coefficient is the coefficient of the term with the highest degree. In this case, the leading coefficient is -2.<br /><br />## Step 6<br />The quotient of the polynomial \(4m^{7}-20m^{4}+30m^{5}\) is \(4m^{3} - 5m^{2} + 6m\).