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An equation of the form 2x4 + 3x3 – 7x2 + 3x – 2 = 0 is called a/an ____________ equation.

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Answer:

Polynomial Equation(fourth degree polynomial)

Explanation:

A fourth degree polynomial equation is written in the form

ax^4 + bx^3 + cx^2 + dx + e=0

Just as written in the question

2x4 + 3x3 – 7x2 + 3x – 2 = 0

From the question:

a=2

b=3

c= -7

d=3

e= -2

Fourth degree polynomial equation are also known as QUARTIC POLYNOMIAL.

They have the following characteristics:

1. Zero to four roots.

2. No general symmetry.

3. 0ne,two or three extrema.

4. Roots are solved by radicals.

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