The binomial theorem can be used to expand the polynomial function 𝑝, given by 𝑝𝑥=𝑥-35. What is the coefficient of the 𝑥3 term in the expanded polynomial?Responses-33·10open parentheses negative 3 close parentheses cubed times 10-32·10open parentheses negative 3 close parentheses squared times 10-33·5open parentheses negative 3 close parentheses cubed times 5

What is the coefficient of the 4th term (𝑥2𝑦3) in the expansion of (𝑥 − 3𝑦)5a. 270b. 190c. −270d. 720

Consider the expansion of (𝑥 + 2𝑦 + 3𝑧 + 4𝑤)18?a) Find the coefficient of 𝑥6𝑦3𝑧4𝑤5.b) Find the sum of all coefficients in the expansion.c) How many terms are in the expansion?

Expand the expression to a polynomial in standard form:left bracket, minus, 3, x, minus, 4, right bracket, left bracket, x, squared, plus, 3, x, minus, 5, right bracket(−3x−4)(x 2 +3x−5)

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.

Expand 52 x in descending powers ofx up to the 4th term hence evaluate52.02