Which pairs of polynomials f, g e C[X] do have exactly one common root? O f = (X8 – 1)³, 9 = (X + X? + X + 1)? O f = (X° – 1), g = (X³ + X² + X + 1)³ O f = X6 – 1,g = X3 + X? + X+1 O f = X8 – 1, g= X³ + X² + X +1

Q: consider the polynomial equation x3-7x2+14x-4=0 over the interval [0,2].

A: Iteration formula: The iteration formula of secant method is pn+1=pn-1-f(pn-1)pn-pn-1f(pn) -…

Q: Find all the real roots of the following polynomial equation. 1.) (3x+2)(x2-25)=0 2.)…

A: As per bartleby guidelines we only give first question answers.

Q: 1. Express the polynomial f(x) = 4x3 – 5x2 + 2x – 3 as a power of x + 2.

A:

Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: Express as a polynomial. (4x - 3y)(x - 5y)

A: Given: (4x - 3y)(x - 5y)

Q: How many roots are there for the polynomial that factors into f(x) = (x² – 1)(x + 2)(æ – 1)2? 3.

A: no of roots = ?

Q: Forp(x)=a0+a1x+a2x2 andq(x)=b0+b1x+b2x2 fromP2,define ⟨p,q⟩=a0b0 +a1b1 +a2b2. Find the distance and…

A: Given for px=a0+a1x+a2x2 and qx=b0+b1x+b2x2 in ℙ2, define  p,q=a0b0+a1b1+a2b2

Q: Let F(a) be Z2. Show that a2 and a2+a are zeros of x3+x+1.

A:

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: 9. Find values of the 800k of polynomial 1- 42+9x +b b. -9 and if 3-42²+9x +6. a and ane

A: Given the polynomial  x3−4x2+ax+b

Q: Find a polynomial that interpolates (−1,0), (0, 2), (1, 1), (2, 2) using the Newton form.

A: x-1012f(x) 0212We have to find a polynomial using the newton form.

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: Check whether or not x³ + 2x + 1 € F5[x] is a primitive polynomial.

A: Primitive polynomial

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

A: We have to find polynomial

Q: A. Classify the following polynomials as to degree. 1. 4x2 + 3x - 7x + 8 6. 3 + 3x? 2. x + 2x - 5 7.…

A:

Q: If 2-i is a complex zero of P(x)= x* – 3x – x² +13x-10, find ALL zeros of the polynomial.

A: