Problemas
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
Roztwór
David
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Respuesta
e)
b) 3g) 5b) -2The quotient of the polynomial
is
.
Explicación
## Step 1The standard form of a polynomial is when the terms are written in descending order by degree. So, the polynomial
in standard form is
.## Step 2The number of terms in a polynomial is simply the number of monomials (single terms) it contains. In this case, the polynomial
has three terms.## Step 3A polynomial with three terms is called a trinomial.## Step 4The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the highest power of
is 5, so the degree of the polynomial is 5.## Step 5The leading coefficient is the coefficient of the term with the highest degree. In this case, the leading coefficient is -2.## Step 6The quotient of the polynomial
is
.