Question

evaluate the degree of polynomial
(y3-2)(y2+11)

Answer 1

Answer:

The degree of the polynomial is 5

Step-by-step explanation:

(y^3-2)(y^2+11)

y^3(y^2+11)-2(y^2+11)

y^5+11y^3-2y^2-22

Answer 2

Answer:

$5$ is the degree of the polynomial $(y^3-2)(y^2+11)$.

Step-by-step explanation:

Degree of a polynomial: The highest or the greatest power of a variable in a polynomial equation is termed as the degree of a polynomial.

Recall the Law of exponents,

(i) $a^ma^n=a^{m+n}$

(ii) $\frac{a^m}{a^n}=a^{m-n}$

Consider the given polynomial as follows:

$(y^3-2)(y^2+11)$

Compute the product of the polynomials $(y^3-2)$ and $(y^2+11)$ as follows:

⇒ $y^3(y^2+11)-2(y^2+11)$

⇒ $y^3y^2+11y^3-2y^2-22$

Using the law of exponents (i), we get

⇒ $y^5+11y^3-2y^2-11$

Notice the the obtained polynomial equation is a polynomial of the variable $y$.

The highest or greatest power of the variable $y$ is five.

Therefore, the degree of the polynomial $(y^3-2)(y^2+11)$ is $5$.

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