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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q.80 (page 499)

Is every trinomial a second degree polynomial? If not, give an example.

Short Answer

Expert verified

Not all trinomials are second degree polynomials.

Step by step solution

01

Step 1. Given Information

We have to explain is every trinomial a second degree polynomial. If not, give an example.

02

Step 2. A definition of trinomial and second degree polynomial

A trinomial is a polynomial consisting of three terms or monomials.
A degree of a polynomial is the highest power of the unknown with nonzero coefficient, so the second degree polynomial is any function in form of:
$P (x) = a x^{2} + b x + c$ where $a \neq 0$

03

Step 3. Explanation, Is every trinomial a second degree polynomial and example.

A second degree polynomial in x is an expression of the form

$a x^{2} + b x + c$ where $a \neq 0$ .

Not all trinomials are second degree polynomials. Example:

$3 x^{5} + x^{4} + 2$

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Most popular questions from this chapter

Simplify ${(\frac{k^{- 2} k^{8}}{k^{3}})}^{2}$

Convert (a) $5.2 \times 10^{2}$ (b) $2.5 \times 10^{- 2}$ to decimal form.

Multiply each pair of conjugates using the product of the conjugates pattern.

$(15 m^{2} - 8 n^{4}) (15 m^{2} + 8 n^{4})$

Solve the square using the binomial squares pattern.

${(3 x - y)}^{2}$

Multiply each pair of conjugates using the product of the conjugates pattern.

$(m + \frac{2}{3} n) (m - \frac{2}{3} n)$

See all solutions

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