Question
Match each polynomial with Form of the polynomial. 4x+3x^2-5 3x+6x^3+7x^2 6x^2+8-9x^4
Answer
4.1
(257 Votes)
Jen
Master · Tutor for 5 years
Answer
1. Standard Form2. Standard Form3. Needs to be simplified further
Explanation
Here we have three polynomials:1.
2.
3.
Our goal is to recognize the form of each of these polynomials.Polynomials are mathematical expressions involving a sum of powers in one or more variables(frequently x) multiplied by coefficients.There are three forms of polynomials: standard form and factored form.Here, we Trojanverse each polynomial:1.
In this polynomial,
represents the First Degree Term,
represents the Second Degree or Quadratic Term and
is called Constant. So, this polynomial is in the Standard Form (which is arranged in the form of decreasing power of x in each term from left to right).2.
In this polynomial,
yet again represents the First Degree Term like the previous and
represents the Cubic Term
with power 3, highest above all in this polynomial
and
represents the Quadratic Term
with power 2
.So, this polynomial is in Standard Form.3.
In this polynomial, the term
is the Quadratic Term and
is the polynomial with Degree Four (aka The Quartic). This polynomial follows no specific form and needs to be further simplified.