Find all the zeros of the function f(g) = g +2g³+10g² + 18g+9 O 1,3i, -3i Oli√3-√3 O-13.3 O1,3i, -3i

Q: Find the coefficients of x from the expression (x2 – ) 5 3) 10 - X.

A:

Q: (c) Find the 3 distinct roots of 2³-2-2√√3i

A:

Q: (b) Show that i³i is real, even though i or 3i is not.

A:

Q: b) g(x)=2+√x-4

A:

Q: Show that the roots of px2 + (p - q)x - q = 0 are real for all real values of p and q.

A:

Q: Solve the following quadratic equati ons by factorization x+3 1-x 17 (ii) X-2

A:

Q: What does Descartes’ Rule of Signs tell you about the real roots of x3 – x2 + 1 = 0 ?

A:

Q: Q4a. Evaluate the complex number e2+3i In(2+i) 3+4i

A:

Q: Use the functions given by f(x) = x + 4 O-43√x +4 O-43√x-4 ○ 43√x-4 43√x + 4 1 64 -x 4 and g(x) = x³…

A:

Q: Find the value of q such that (3 + 4i)(1 + 2i) (1 + 3i) = q(1 + i).

A: We have to simplify left hand side expression then compare both side to find the value of q.

Q: In the diagram, ABDE is a rectangle, ABCD is equilateral, and AD is parallel to BC. Also, AE = 2x…

A:

Q: Let a be a complex root of x³ + 2x + 6. Find the inverse of a² + 2a + 1 in the form d + ba + ca², d,…

A: We have to find the inverse in the given form.

Q: w is an imaginary root of unity. Prove that (i) (a+ba+ca²)³ + (a+ba² +ca)³ = (2a-b-c) (2b-a-c)…

A:

Q: Let (zn)n≥1 be a geometric progression of complex numbers, and suppose that z3 = −1 and z5 = 7. Find…

A:

Q: Find all the real roots of given that 121/2/2 7 is one of them. p(x) = 7x³ + 19x² - 2x - 24

A:

Q: 6-prove that the Sum of oots of th equation 2X+3X+5=0is=3 the multiple is I

A: Sum and product of roots of qudratic equation

Q: x+2-√√a x=3 = √√√x x-6

A:

Q: 4 Get all the roots of 2(V3i – 1) |

A:

Q: If a is a non-real complex nth root of unity, find the values of:

A:

Q: Q1- If z₁ =3+2i, and z2 = 1-2i. Fined the real part and imaginary part of the 2z2-z₁+5-i following…

A:

Q: Find the two square roots of 4i. A v2+ v2i and v2- V2i B v2-v2i and -V2- V2i © v2- V2i and -v2 - v2i…

A:

Q: Subtract. (3 + i)- (6 - 14 i) (3 + i)- (6 - 14 i) =| (Type your answer in the form a + bi.)

A:

Q: 5. Find a polynomial with real coefficients that has the zeros without complex numbers.) 4,3i, and…

A:

Q: Let r₁ and r2 be two different roots of the equation ax² +2bx+c = 0. Without solving the equation,…

A:

Q: If [x² - 2x + a] = 0 has no solution, then find where [] represents the greatest integer).

A:

Q: Express the formula in terms of f R T Simplify 1/8a³b³. : f+p f-p 1 =—= a¹b² × (16√√a4f6)-1/2 25…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-part problem.…

Q: The quadratic function, f(x) = (x + 1)² +9, is shown in the graph below. 10 a = 15 b = 10 0 This…

A: The given quadratic equation is