Question
Write the polynomial in standard form. Then classify the polynomial by degree and by number of terms. 5x^2+9x^2-7x^2 Write the polynomial in standard form. square (Simplify your answer.) Classify the polynomial. The polynomial is a square square
Answer
4.4
(283 Votes)
Aileen
Professional · Tutor for 6 years
Answer
1.
2. Quadratic 3. Monomial
Explanation
## Step1 The given polynomial is
. To simplify this, we combine like terms.## Step2 The like terms in this polynomial are
,
, and
.## Step3 We add and subtract these like terms.###
## Step4 The simplified polynomial is
.## Step5 To classify the polynomial by degree, we look at the exponent of the variable
. In this case, the exponent is 2, which makes the degree of the polynomial 2.## Step6 The degree of the polynomial is 2, which is referred to as a "Quadratic" Polynomial.## Step7 To classify the polynomial by the number of terms, we count the number of terms in the simplified polynomial. There is only one term,
, in the simplified polynomial.## Step8 Since there is only one term, the polynomial is classified as a "Monomial".