2. Use the polynomial function, P(x) = x4 – 2x3 – 7x² + 8x + 12 to answer the following questions: | How many zeros does this graph could possibly have without graphing it?

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

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Q: quadratic

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Q: Find the zeros of the quadratic polynomial f (x) =6x2-3,and verify the delatiob-ahip between the…

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Q: if sum of the squarew zeroes of the quadratic polynomials  f(x) =x2-8x+k is 40.Find K

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Q: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

A: Find the zeros of the polynomials f(x) =x2 -5x2 -16x +80 ,if it's two zeros are equal in magnitude…

Q: 5. Give an example of a 4th-degree polynomial function, P(x), whose graph on a Cartesian coordinate…

A: Clearly it has been specified that the function should not have any X-axis intercept which is…

Q: Compute the zeroes of the polynomial 4x2 - 4x -8 also establish a relationship between the zeroes…

A: Given Polynomial 4x2-4x-8 = 4x2-8x+4x-8  = 4x(x-2)+4(x-2) = (4x+4)(x-2) In order to find the zeros…

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: 6. Determine the vertex and the axis of symmetry for f(x) = 3x2 – 5x + 12

A: We have given a quadratic function.  We have to find the vertex and line of symmetry

Q: For the polynomial function f(x)= 6 (x^2 + 1)^2 (x-3)^3 The maximum number of turning points on the…

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Q: 5) Find the intercepts of the polynomial. y=x(x-1)(x+1)

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Q: 15. If the zeros of the polynomial x²+px +q are double in value to the zeros of 2x²- 5x -3, find p…

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Q: The graph of a quartic polynomial f(x) with integer zeros is shown to the right. Write the complete…

A: F(x) = (x + 1)²( x - 3)²

Q: Prove that x- 3 is a factor of the polynomial x + 4x-17x2-14x + 6 without referring to the graph.

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Q: Use an appropriate Chebyshev polynomial to economise f(x) = x³ + 2x² – 5 once

A: In this question, we need to economize the polynomial by using appropriate Chebyshev Polynomial the…

Q: H.W:- find the root of the polynomial below:- 5 x³+ 4x1-3x³+2x²+x+1=0

A: The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to…

Q: The number of zeros of the polynomial x +3x+2 in z, is: None 4

A: The given polynomial is a 2 degree polynomial  Because the highest power is x is 2  So the zeroes of…

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: 4. a. Use the vertex formula to determine the vertex of f(x) = 2x + 12x + 19. b. Based on the…

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Q: What is the largest multiplicity in the factored polynomial y = (x2 – 1)(x + 2)(x + 4)?

A: Here function is :  y = (x2 - 1) (x +2 ) (x+4)  It can be written as  y = ( x - 1)( x + 1 )( x + 2)(…

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: Find the zeroes of a polynomial f(x) =x2-12x2+39x-28 ,If it is given that zeroes are in AP

A: Solution: The objective is to find the zeroes of the given polynomial

Q: Find the zeros of the polynomials f(x) =x3-5x2-16x+80,if it's two zeros are equal in magnitude but…

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Q: Graph the polynomial f(x) =x^3+3x^2−4 noting the x- and y-intercepts, multiplicity, and end…

A: Given, fx=x3+3x2-4 The graph of the given polynomial is,

Q: The number of zeros of the polynomial x² + 3x + 2 in Zg is: None O 2

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Q: Q3) Write in factor form a 5h degree polynomial whose zeros are +2, -2 and 4 with multiplicity 3

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Q: 9. Examine the leading term of the function P(x)=-2x³ + 3x² – 5x + 3. Determine the far-left and…

A: Solution: Given data, P(x)=-2x3+3x2-5x+3 The leading term in a polynomial is the term with the…

Q: 1. Determine an equation for the graph of the polynomial function shown. y4 2 4+

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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: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x -3 and then verify…

A: Note :- Solved by taking cubic polynomial p(x) = 3x3-5x2-11x -3 ( because in cubic polynomial 'x'…

Q: Find all zeros of the polynomial. P(x) = x3 - 3x2 + 3x - 2

A: Given polynomial is P(x)=x3-3x2+3x-2

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 the zeros of the polynomials f(x) =x2-5x2-16x +80 ,if it's two zeros are equal in magnitude but…

A: Consider the polynomial  fx=x3−5x2−16x +80

Q: Verify that 3 , -1 , -(1/3) are the zeroes of the cubic polynomial  p(x)=3x3-5x2-11x-3

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Q: 2) Determine the end behavior, all the intercepts, and use that information to sketch the graph of…

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Q: 2. Fill in the table below for the polynomial function: [K9] fx)=- (x- 4) (x+1)°(x, 5) x -…

A: Given

Q: 2) State the degree and identify the leading term and constant term of the following polynomial…

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

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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 zeroes of the polynomial f (x) =x2-12x2+39x-28,if it is given that the zeroes are AP

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Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)…

A: The solution is given below in the next step:

Q: Find algebraically the zeros for .3 p(x) = x³ + x² – 4x – 4 %3D -

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Q: Use the Factor Theorem to show that the statement in the exercise is true.

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Q: 4) Consider f(x) = x* + 10x³ + 25x² a. What are the zeros? b. What are the multiplicities of those…

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Q: if the sum of the zeroes of the polynomial f(x) = 2x³ – 3kx² + 4x - 5 is 6, then the value of k is

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Q: Let P(x) = x* + 2x² + 1. ||

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Q: Examine the leading term and determine the far-left and far-right behavior of the graph of the…

A: Examine the leading term and determine the far-left and far-right behavior of the graph of the…

Q: Show that is a zero of the polynomial 2 P(x) = 2x* + æ – 5a2 +10x - 4

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.