Question

Select all statements that are true of polynomials:

Answer 1

Answer:

The Statements have been categorized and explanation given.

Step-by-step explanation:

The following statements are true

$5a\²b - 6ab^3c + 3a^5$ is a fifth degree polynomial.

• The degree of a polynomial is the highest power in the polynomial, therefore, $5a\²b - 6ab^3c + 3a^5$ is a fifth degree polynomial.

$5a\²b - 6ab^3c + 3a^5$ contains three terms.

• This is true. The terms are: $5a\²b, - 6ab^3c, 3a^5$

$12x -10x^5 - 7 + 3x^4$ is equivalent to $-10x^5 + 3x^4 + 12x -7$

• The second polynomial is a basic rearrangement of the first polynomial, therefore the statement is true.

$12x - 10x^5 - 7 + 3x^4$ has a leading term of $-10x^5.$

• The leading term is the term containing the highest power. The highest power is 5 and the term containing it is  $-10x^5.$

FALSE

$2b-6ab^3c + 3a^5$ has a leading term of 5.  

The leading term of this polynomial is $3a^5$