QuestionThe polynomial is a $\square$ $-15 y^{3}+32 y^{2}$
The degree of this polynomial is $\square$

Studdy Solution

STEP 1

1. A polynomial is an expression consisting of variables and coefficients, involving only addition, subtraction, multiplication, and non-negative integer exponents of variables.
2. The degree of a polynomial is the highest power of the variable in the polynomial.

STEP 2

1. Identify the type of polynomial.
2. Determine the degree of the polynomial.

STEP 3

Identify the type of polynomial by examining the terms.
The given polynomial is:
$-15y^3 + 32y^2$
This polynomial consists of two terms: $-15y^3$ and $32y^2$ .
Since it has more than one term, it is a binomial.

STEP 4

Determine the degree of the polynomial by identifying the highest power of the variable $y$ .
The terms are $-15y^3$ and $32y^2$ .
The exponents of $y$ in these terms are 3 and 2, respectively.
The highest exponent is 3.
Therefore, the degree of the polynomial is 3.
The polynomial is a binomial and the degree of this polynomial is 3.

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