Instructions: Classify the following by the number of terms.7x4
Question
Instructions: Classify the following by the number of terms.7x4
Solution
The expression 7x^4 is classified as a monomial because it only contains one term.
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How would you classify the following expression by the number of terms?4x2−8y+44𝑥2−8𝑦+4 SolutionFirst, consider how many terms are in the expression.This expression has terms.Therefore, this expression is called a trinomial.
Instructions: For the following polynomial expression, identify the number of terms, the coefficient of each term, the constant, the degree of each term and the degree of the polynomial. Then name the polynomial by degree and number of terms.x5−3x3+4x2−5x+7𝑥5−3𝑥3+4𝑥2−5𝑥+7This polynomial expression has five terms, which makes it a polynomial.The coefficients of each term, in order, are 1,−3,4,−51,−3,4,−5 and the constant is 77.Next, let’s find the degree of each term:x5𝑥5 has a degree of .−3x3−3𝑥3 has a degree of .4x24𝑥2 has a degree of .−5x−5𝑥 has a degree of .77 has a degree of .The term with the largest degree is x5𝑥5 with a degree of 55. Therefore, the degree of the polynomial is 55.Altogether, the polynomial is classified as a fifth-degree polynomial.
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