c) Find all zeros of the polynomial d(x) = 7x* + 32x° + 62x´ + 352x – 165 given that (x – c) is a factor, where c is the number you 4 3 2 - circled in #2.

Q: correct answer for all parts

A: Zeros of the polynomial

Q: 1. Determine all the zeros for the polynomial P(x) = 4x³ – 13x² + 8x + 15 given that x = 2 – i is a…

A: conjugate of x will also be a zero of polynominal

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

A: f(u) = 4u2 + 8u To Find the zeros of the polynomial f(u) and To verify the relationship between the…

Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

A:

Q: 3. a) For the polynomial function P(x) = 2x- 7x? + 4x + 4, could there be exactly 1 real-valued…

A:

Q: If alpha and beta are zeroes of x^-x-30,then form a quadratic polynomial whose zeroes are –2alpha…

A: α & β are zeroes of x2-x-30. That is, α+β=--11  &  αβ=-301   ∵If α & β are zeroes of…

Q: Find a polynomial f(x) of degree 3 that has the following zeros. -4 (multiplicity 2), 3 Leave your…

A:

Q: 11. Use the quadratic formula to explain why a quadratic polynomial function f(x) = ax? + bx +c is…

A: fx=3x2+2x+6

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: C. Pick the correct roots/zeros in the following polynomial equations: 1. x-7x+ 6 0 (6, -1, 2 1,…

A:

Q: find a formula for the polynomial P(x) with degree 3 leading coefficient 2 zeros at -5, -3, and 3

A:

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = -4 and x = 11.

A: Let the polynomial at 2nd degree be             P(x) = x2 + ax + b Given, Zeroes are x = -4 and x…

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

A:

Q: Suppose that R (x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 10 whose coefficients are real numbers.

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 0, 9 (multiplicity 2), -6 Leave…

A:

Q: Find a polynomial f(x) of degree 4 that has the following zeros. 8, -1 (multiplicity 2), 0 Leave…

A: To find a polynomial f(x) with degree 4. Given zeroes : 8,-1 (multiplicity 2) ,0 Here, multiplicity…

Q: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions. Zeros of -…

A: Find a polynomial of degree 3 with real coefficients that satisfies the given conditions. Zeros of…

Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

A: Newton's divided differences interpolation

Q: Suppose that R(x) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose…

A: Suppose that R(x) is a polynomial of degree 11 whose coefficients are real numbers. Also, suppose…

Q: 1 is a zero of the polynomial P(x)= x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 (b) 5 (c)…

A: Let's find x value.

Q: Find a polynomial f (x) of degree 5 that has the following zeros. 3, -4 (multiplicity 2), 7, -2…

A: Find a polynomial F(x) of degree 5that has the following Zeros3,-4 (multiplicity 2) , 7,-2

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

A: Please refer to the image below

Q: Find all the real zeros of teh polynomial. Use the Quadratic Formula if necessary given. P(x) = 4x3…

A: Zeroes are those values for the polynomial which gives zero value for the polynomial when replaced…

Q: If alpha and beta are zeroes of the quadratic polynomial x2 -6x + y. Find the value of the of y if…

A:

Q: Find all rational zeros of: f(x) = 2x* – 11r³ + 14a² – 11r + 12.

A: We need to find the rational zeros of the given polynomial.  By Rational zero theorem, a polynomial…

Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

A:

Q: 3. Find all zeros(real and complex) of the polynomial P(x) = x* + x³ + 7x² + 9x – 18, making sure to…

A: The given polynomial is  P(x) = x4 +x3 + 7x2 + 9x - 18

Q: D. Find a fourth-degree polynomial with integer coefficients that has zeros 3i and -1, with -1 a…

A: The given zeros are 3i,-3i,-1 and -1.

Q: (2) Consider the polynomial 6x 22x2 + 7x + 15. What are all - of the possible rational zeros? Does…

A: To find the possible rational roots

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: If the zeroes of the quadratic polynomial x2 +(a+1) x+b are 2 and -3 then find a and b

A:

Q: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: Find a possible formula for a polynomial with degree n=2 and the zeros are x = 4 and x =-5.

A: It is given that, degree n=2 and the zeros are x=4 and x=-5 We have to find formula for a polynomial…

Q: Suppose that R(x) is a polynomial of degree 15 whose coefficients are real numbers. Also, suppose…

A:

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

A:

Q: The zeros of the polynomial P(x) x³ + x2 +4x + 4 are %D (а) -1,2і, аnd -21 (c) 2,2i, and - 2i (b)…

A:

Q: 6. Does there exist a polynomial of degree 4 with integer coefficients that has zeroes i, 2i, 3i and…

A: Complex root must be in conjugate pair

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

A:

Q: Suppose that R (x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose…

A: Given that R(x) is a polynomial of degree 9 whose coefficients are real numbers. Also suppose that…

Q: Show that the cubic polynomial p(x) = ax3 + bx2 + cx + d has exactly one point of inflection (x0,…

A: Given Data The cubic polynomial equation is p(x)=ax3+bx2+cx+d. The equation is p(x)= x3-3x2+2.…

Q: Let z1 and z2 be the roots of the polynomial p(z) = 2z2 + 4az + 1862, where a, b e C and b # 0. Show…

A: We have to solve given problems:

Q: 7) Using the fact that x = 1 is a zero of the polynomial P(x) = x³ - 4x² - 7x + 10, reduce P(x) to a…

A: Given polynomial is Since, x=1 is zero of P(x) , therefore (x-1) is factor of P(x) Dividing P(x) by…

Q: find the four zeroes of the polynomial z^4+4, one of them being z0=2^1/2e^ipi/4=1+i.then use those…

A:

Q: Show that a cubic polynomial x3 + Ax2 + Bx + C has one real zero and two pure imaginary zeros only…

A:

Q: a) For the function of f(x) = x4 + 1, factor f into the product of two irreducible quadratics.…

A:

Q: 2. Determine the exact real roots for the polynomial equations. a) 8x¹ + x = 0 b) x³ = 5x - 4

A:

Q: Suppose that Rx is a polynomial of degree 12 whose coefficients are real numbers.…

A: Rx is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose that Rx has the…

Q: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

A:

Q: find a formula for the polynomial P(x) with degree 3 leading coefficient 1 zeros at -6, 4, and 7…

A: