Given the polynomial function p(x) = 2x2 + 3x + 4x + 1 answer the following: a) State the degree of the polynomial and if it has a name state it. b) State the coefficient of the cubic term. c) State the quadratic term. d) State the end behavior:

Q: Given that one of the zeroes of the cubic polynomial ax3+bx2+cx+d is zero , the product of the other…

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Q: Given that (x+1) is a FACTOR of the polynomial, find all the ROOTS of the polynomial

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Q: Find all the zeros of f (x) = x³ – 8 Then, factor the polynomial completely -

A: We have to find

Q: quadratic

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Q: State the degree and identify the leading term'and constant term of the following polynomial…

A: Given polynomial, g(x)=9x3-5x2-4x+6

Q: Given the graph of the following degree 3 polynomial function, find all of the zeros and their…

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Q: ) State the degree and identify the leading term and constant term of the following polynomial…

A: How to determine the degree, leading term and leading coefficient of a Polynomial:- 1.Find the…

Q: If sum of the squares zeroes of the quadratic polynomial f(x) =x2-8x+k is 40.Find k

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Q: Find the condition which must be satisfied by the coefficients of the polynomial f(x)=x3 -px2 +qx-r…

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Q: Find the zeroes of the quadratic polynomial x2+7x+10, and verify the relationship between the zeroes…

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Q: if the sum of squares zeros of the quadratic polynomial f(x) =x^2-8x+k is 40. Find k

A: If the roots of ax2+bx+c=0 are m and n Then m+n=b, mn=c

Q: Find all zeros of the polynomial function f(x) = x3 - 2x2 + 26x. Then graph the function.

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Q: Find the x-intercepts of the polynomial function. f(x) = x³ – 9x² – x + 9 %3D (x, f(x)) (smallest…

A: From the given problem:   fx=x3-9x2-x+9ory=x3-9x2-x+9   For finding x-intercepts substitute y=0.…

Q: If sum of the squares of the zeros of the quadratic polynomial f(x ) =x2-8x+k is 40,find the value…

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Q: If the polynomial function P(x) = x4 - 5x3 - 9x2 + 155x - 250 has zeros of 4 + 3i and 2, find the…

A: If the polynomial function P(x) = x4 - 5x3 - 9x2 + 155x - 250 has zeros of 4 + 3i and 2, find the…

Q: Find a polynomial of degree 3 that has zeros of 3, 4, and 5, and where the coefficient of x? is 8.…

A: polynomial of degree 3 has zeros of  3, -4 & 5 and coefficient of x2is 8Let the polynomial be…

Q: Suppose f (x) = x² + 2x + 1. Find the vertex, vertical intercept, and x-intercepts of this quadratic…

A: The objective of the question is evaluate vertex , vertical intercept and  x-intercept.

Q: Find all zeros of the ploynomial (real and complex) and factor the polynomial completely…

A: To obtain the roots of the function use the synthetic division as, -31    7    18    18   -3 -12  -8…

Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)=x3-px2+qx-r,…

A: we know for cubic equation,  ax^3+bx^2+cx + d having roots α,β and γ  Sum of roots,α+β+γ=−b/a, Sum…

Q: Factor the polynomial function and sketch its graph. f(x)=x+-4x3+4x?

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Q: Find the roots of the polynomial: f(x) = x4 + 4x2 – 32.

A: We have to find the roots of polynomial: fx=x4+4x2-32 To find the roots of given polynomial we need…

Q: Complete the square for the quadratic polynomial f (x) = 4x 2 - l2x + 3.

A: Given polynomial  f(x) = 4x2 - 12x + 3 Method used Completing square method Formula used (a-b)2 = a2…

Q: If one of the zeroes of the quadratic polynomial (k-1)x2+kx+1 is - 3 then find the value of k

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Q: Find the critical points, A and B, of the following polynomial (with A<B). f(x)=2x3-294x+6 A= ?…

A: The given polynomial is fx=2x3-294x+6.

Q: Determine the number of zeros of the polynomial function. f(x) = x³ + 7x2 + 2

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Q: Solve the polynomial 5x* - 16 + 3x2 + 20x - 4 = 0, given that 2 is a root of multiplicity 2.

A: Given polynomial is : 5x4-16x3+3x2+20x-4 = 0 The root x=2 has multiplicity 2.

Q: If one of the zeroes of the quadratic polynomial f(x) = 4x2 - 8kx - 9 is equal in magnitude but…

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Q: 2. Solve the polynomial equation for all zeros. x4 + 5x2 =z?

A: Simplify the polynomial equation x4 + 5x2 = x3 as follows.

Q: needed), find the real zeros of the function, f(x) =-75x* – 35x + 20x + 15 (round to three decimal…

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Q: Examine the leading term of the function P(x)=-2x³ + 3x² – 5x+3. Determine the far-left and far-righ…

A: The nth order polynomial is represented as p(x)=axn+⋯+bx+c. Here, a is called the leading…

Q: The degree of the polynomial function 4x3 + 2 is:

A: The degree of a polynomial is the highest exponent of all individual monomials of the given…

Q: Graph the polynomial f(x)= x(x-3)ʻ(x+2) and answer the following questions: A) What are the real…

A: We are solving the first three subpart and for the remaining subpart post the question again and…

Q: State the number of solutions for the polynomiai. f (x) = 2 -3x2 - 10c

A: We have to state the number of solutions for the polynomial f(x) = x3 - 3x2 - 10x

Q: if the sum of squares zeros of the quadratic polynomial f(X) =x2-8x+k is 40.Find k

A: We can find the value of k as below

Q: Find all zeros of the polynomial. P(x) = x3 + 7x2 + 18x + 18

A: Given polynomial P(x) = x3 + 7x2 + 18x + 18

Q: If sum of the squares  zeroes of the quadratic polynomial         f(x)=x2-8x+k is 40 . Find k

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Q: Find the zeros for the polynomial function f(x) = x3 + 4x2 + 4x and give the multiplicity for each…

A: Given polynomial function - f(x) = x3+4x2+4xf(x) = xx2+4x+4f(x) = xx2+22+2×2×x…

Q: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.…

A: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.

Q: The polynomial f (x) = x + 16x + k is a perfect square trinomial. What is the value of k?

A: Given data: The given expression for the trinomial is f(x)=x2+16x+k. The standard expression for the…

Q: Find the zeros of the polynomial x^3 + x^2 - 3x + 1 and describe the graph

A: Our Aim is to find the zeros of the polynomial given below:-x3+x2-3x+1 -(i) and to describe its…

Q: A shed in the shape of a rectangular prism has a volume of 910 cubic feet. The length of the…

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Q: Factor the polynomial function and sketch its graph. f(x)%3Dx+-4x3+4x?

A: Factor and graph of polynomial

Q: Find all zeros of the polynomial. P(x) = 2x3 - 8x2 + 9x - 9

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Q: Based on the end behavior of the graph of polynomial functions, what best describes the leading…

A: Leading term is x3. Leading coefficient is -4

Q: Find the factor of polynomial  f(x) = x^2-6x+8

A: We have to find the factor of polynomial  f(x) = x2 - 6x + 8