Instructions: Classify the following polynomial by degree and number of terms.7x2+3x−2x4+8x6−77𝑥2+3𝑥−2𝑥4+8𝑥6−7The expression has terms, which makes it a polynomial.Look at the degrees for each term in the expression.7x27𝑥2 has a degree of .3x3𝑥 has a degree of .−2x4−2𝑥4 has a degree of .8x68𝑥6 has a degree of .−7−7 has a degree of Then, the highest degree identifies the degree of the polynomial. The term 8x68𝑥6 is the highest degree, so the degree of the polynomial is .The polynomial is a sixth-degree polynomial.

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.

Determine if the expression minus, 7, c, cubed, d−7c 3 d is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.AnswerAttempt 1 out of 2The given expression a polynomial. The polynomial is a and has a degree of .

Instructions: Classify the polynomial expression by the number of terms.5r5𝑟Terms:

Determine if the expression minus, 7, c, to the power minus 4 , d, to the power 4−7c −4 d 4 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

Instructions: Classify the following by the number of terms.7x5+2x3−7x+4