Instructions: Classify the following by the number of terms.7x5+2x3−7x+4
Question
Instructions: Classify the following by the number of terms.7x5+2x3−7x+4
Solution
The given expression is 7x^5 + 2x^3 - 7x + 4.
This expression has four terms:
- The first term is 7x^5.
- The second term is 2x^3.
- The third term is -7x.
- The fourth term is 4.
So, the expression 7x^5 + 2x^3 - 7x + 4 is classified as having four terms.
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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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