Write a polynomial in standard form axn+bxn−1+… given the following requirements. Degree: 4, Zeros at (5,0), (−2,0) and (−3,0) and y-intercept at (0,60). Leading coefficient is 1

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

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Q: Find a polynomial f(x) of degree 3 that has the following zeros. 0, 2, -6 Leave your answer in…

A: A polynomial will have α as a zero if and only if x-α is a factor of the polynomial.     For zeros…

Q: For the polynomial below, 3 is a zero. h (x) =x³ + x² - 13x + 3 Express h (x) as a product of linear…

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Q: Consider the polynomial equation of P(r) = 0 where P(x) = #* – a* – ² – a – - 2. - T (a) What are…

A: The given polynomial is Px=x4-x3-x2-x-2.

Q: For the polynomial below, 2 is a zero. h(x)=x'+4x+ 6x- 36 Express h (x) as a product of linear…

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Q: Find the number of zeroes of the given polynomials and also find their value  p(x)=2x+1 q(y)=y2-1

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Q: if the zeros of the polynomial f(x) =x3-3x2+x+1 are a-b,a,a+b.find a and b

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Q: Determine the third order polynomial below which has the following cartesian coordinades (-1,-16),…

A: Let the third order polynomial is  ft=at3+bt2+ct+d The points -1,-16,0,-7,2,-13 and 5,8 are on y=ft…

Q: Rewrite the polynomial in the form ax + by + c and then identily the values and c. x - 1- 2y

A: To identify the value of a,b,c

Q: Find the value of k in the given polynomial if one of the zeroes is -3  (k-1)x2+kx+1

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Q: Let p be a polynomial function defined by p(x) = 2x³ + 5x²–6x-9. Use the fact that p(-4) = –33 ,…

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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?+ 4x +1 in Zs is:

A: As Z_6 is finite, we check for zeros of polynomial by substituting every  elements of Z_6.

Q: Use the given information about the polynomial graph to write the equation. Degree 5 zeros at x =…

A: Given:- Use the given information about the polynomial graph to write the equation. Degree 5 zeros…

Q: Given p(x)=(x-4)^5 (x+1)(x-2)^3State the zeros and their multiplicities. What is the degreeof the…

A: Given:The function is, p(x) = (x−4)5(x+1)(x−2)3.

Q: Find thezeroes of the polynomial p(x)=(x-2)2-(x+2)2

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Q: (a) The degree of the polynomial is and the leading coefficient is

A: a. degree of the polynomial is 3 (since height power of x is 3) leading coefficient is 3 (because…

Q: If the zeros of the polynomial f (x) =x3-3x2+x+1 are a-b,a,a+b .find a and b

A: We can solve it using the properties of cubic polynomial as below

Q: Find all zeros of the polynomial. P(x) = x5 - 2x4 + 2x3 - 4x2 + x - 2

A: Given, p(x)=x5-2x4+2x3-4x2+x-2 now find the factors and zeros of function p(x)=0…

Q: Determine the degree of the polynomial P(x) and arrange the terms in decreasing order. 4x3 - 3 +…

A: Polynomial and its Degree.

Q: A 4th degree polynomial, has the following zeros -2, -V2, v2 and 3, with leading coefficient 4. What…

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Q: Find all zeros of the polynomial. P(x) = x2 + 2x2 + 4x + 8

A: Given: px=x2+2x2+4x+8 We know that zeros of quadratic equationax2+bx+c=0 is given by x=-b±b2-4ac2a…

Q: determine the degree of the given polynomials. -5x2y2 - 6xy2 + x

A: Consider the provided polynomial, 5x2y2-6xy2+x Determine the degree of the given polynomial.

Q: Produce the quadratic polynomial interpolating the data {(-2, –15), (–1, –8), (0, –3)}. Find the…

A: We will find out the required equation of quadratic polynomial.

Q: Find a, beR such that the polynomial f(x) = 6x4 – 7x3 + ax? + 3x + 2 is divisible by g(x) = x2 – x +…

A: When a polynomial is divisible by another polynomial, there is a quotient polynomial. The leading…

Q: Find all zeros of the polynomial. P(x) = 4x4 + 2x3 - 2x2 - 3x - 1

A: Our Aim is to find all zeros of the polynomial given below:-P(x)=4x4+2x3-2x2-3x-1 -(i)

Q: If a,ß the zeroes of the polynomial 2y + 7y + 5, Find the value of a+ß+aß

A: For finding zeroes I used factor method for quadratic equation I completely solved in the 2nd step…

Q: If a and ß are the zeros of the quadratic polynomial f (x) = kx² + 4x + 4 such that a“ + B² =…

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Q: Find all the zeros, real and nonreal, of the polynomial and use that information to express p(x) as…

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

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

Q: Find all zeros of the polynomial. P(x) = x3 -x - 6

A: Given P(x)=x3-x-6 Let x=2, P(2)=23-2-6        =8-8        =0 Hence 2  is a zero of P(x). So, x-2 is…

Q: Consider the polynomial equation of P(x) = 0 where P(x) = x* – x3 – 2² – r – 2. (h) Find all zeros…

A: We will find the zeros of polynomial as shown below

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

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Q: Find the value of k in the given polynomial if one of the zeroes is - 3  (k-1)x2+kx+1

A: The given function is  f(x) = (k-1)*x2 + kx +1

Q: Which polynomial function has zeros -2, ½, 2, 1? O A. y = 2x^4 - 3x^3 – 7x*2 +12x - 4 O B. y = 2x^3…

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Q: Write a polynomial, P(x), in factored form given the following requirements. • Degree: 3 • Leading…

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Q: Find the zeroes of the polynomial f(u) =4u2+8u,and verify the relationship between the zeroes and…

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

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: For the polynomial below, -3 is a zero. g (x)=x' + x?. 3 3Dx 10x 12 - Express g (x) as a product of…

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Q: Construct a polynomial with Z coefficents with a root of the given C 2+ V7 (d) 3 (e) V3+ v2

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Q: Determine the 3rd degree polynomial which passes through the following points: 3 1 1 7 y 25

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Q: Find all zeros of the polynomial. P(x) = x3 - 2x2 + 2x - 1

A: Given: P(x)=x3-2x2+2x-1

Q: determine the degree of the given polynomials. 7x - 2y

A: Given: 7x-2y

Q: Find all zeros of the polynomial. P(x) = x4 - 2x3 - 2x2 - 2x - 3

A: Given, P(x) = x4 - 2x3 - 2x2 - 2x - 3

Q: determine the degree of the given polynomials. -x2y + 2xy2 - xy

A: Given the polynomials  -x2y+2xy2-xy

Q: Consider the polynomial p (x) = 2 (x + 1) (x – 3)² (A) As х — —о y →? (B) As y →? (C) Find the zeros…

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Q: If a ,ß are the zeroes of the polynomial 2y + 7y + 5, find the value of a + ß+ aß

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