3. Which polynomial expresses the product of 4y(3y² +7y – 11)? O A. 12y³ + 7y – 11 о в. 12у3 + 28у — 44у C. 12y + 28y? – 11 - D. 12y³ + 28y² – 44y

Q: 2. Decide if the following polynomials are reducible in Q[x]. (a) 2x3 – 3x + 3; (b) 4x3 — 5х + 2.

A:

Q: If Z1 =1- j3, Z2=-2+ j5 andZ3 =-3- j4, determine in a + jb form: Z1Z2Z3 О а. -5- ј85 О Б. 5+]85 О…

A: We have to multiply the given three complex numbers.

Q: Is each of these a polynomial? Yes, or No. Write your answer orl the space provided. 6. 7x+3* 3 7.…

A:

Q: In Exercises 16-33, factor completely, or state that the polynomial is prime. 16. 14x3 – 15x² 17.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2 Let C = Find -2C. -5 -6 -2C = %3D

A: use the concept of matrix and multiply with scalar value

Q: 3) Show that (a + b +c)² = a² + b² + c² + 2ab + 2ac + 2bc is a polynomial identity.

A: To show: a+b+c2=a2+b2+c2+2ab+2ac+2bc

Q: In Exercises 15-27, multiply the polynomials. 15. (4x yz)(-3x+yz?) 16. a( - 4r* - 2) 17. 7xy (3x*y?…

A: The multiplication of two algebraic  expression is done by multiplying each terms of one expression…

Q: - Select all that apply. A 3 (16a - 72a² + 81) B 3 (4x - 9)* C 3 (4a+ 9) (4x – 9) - D 3 (2x-3) (2x…

A:

Q: If P = 7x +7x +8 and P2 = 2x - 3x-4 then 2P + P2 = %3D O 16x? + 11a + 12

A: P 1=7x2+7x+8 and P2=2x2-3x-4 Then 2P1+P2 =2(7x2+7x+8)+(2x2-3x-4) =14x2+14x+16+2x2-3x-4=16x2+11x+12

Q: A² Show that w'= -9-7x - 15x² can be written as the Linear combination of U= 2 + x +4x²₁ V = 1 =…

A: Solution is below

Q: 4. Find MZSTV. R (9x + 1)° -(23r -7)° U T

A: Need to find angle

Q: The following table presents the temperature in different minutes that were taken from'a cup of…

A:

Q: What is the coefficient of (x^8)(y^12) in the expansion of (2x+3y)^20

A:

Q: Show that r3 + 3x² – 8 is irreducible over Q.

A: Here Q is a field and f(x)= x³+3x²-8 is of degree 3. Then by ROOT TEST we can say that f is…

Q: Express (2ay + 2x – 1) – i (a2 – y? – 2y) as polynomial in the binomial argument z = x + iy. iz + 2z…

A: Solution

Q: Based on the Fundamental Theorem of Algebra, how many zeros does the polynomial z - 3z-5z +15r? -…

A:

Q: 35. Consider the polynomial xy + 27xyt + x²y+ 3xy². a) One factor of the polynomial x + 27y is x +…

A:

Q: The 4th term in the expansion of (2x² – 3x)* is - 10 Ca (2r²)*(-3z)® O 10 C4 (2a²)°(–3x)“ O 10 C3…

A:

Q: Suppose that X is a (A -e100, p 3e-100)-BCP. What is P(X(1)X (2)X(3) = 4)?

A: Answer is 4.

Q: Determine the number of zeros in the right half-plane (Re z > 0) of the polynomial p(2) = 23 + 22 +…

A: "Since you have asked multiple questions we will solve the first question. For the remaining kindly…

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              => k(15 - 13) = 2k for any integer k              => 15 k -…

Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

A:

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: 1. Find the sum of the polynomials: (5x°-2x+x)+(4x° – 3xª +2x³-5x) O x5 +3x4-4x3+6x O 9x5+3x4-4x³+6x…

A:

Q: Which statement about y = 7x + 23x+ 6 is true? O A. The zeros are 3 and, because y = (x- 3)(7x - 2).…

A: We have to verify

Q: Express (2ry+ 2x- 1)-i (x2 - y-2y) as polynomial in the binomial argument z = x+ iy. O iz? + 2z + 1…

A:

Q: Which of the following are terms in the sum of the given polynomials? 3x2,-2x2y, 2xy2, 4y2, xy2,…

A:

Q: 2. Write the polynomial in standard form. * 5w – 2w + 2w - 8 2w + 2w + 5w-8 -2w + 2w -8+5w 5w - 2w +…

A: Steps :: 1) Write the term with the highest exponent first2) Write the terms with lower exponents in…

Q: 8. (S.15). Write P20 = x2 +2x – 1 as a linear combination of the polynomials P31 = x2 – x – 2, P22 =…

A:

Q: The product of 2x3 + 3x? +1 and 2x2 + 4 in zs (x]/ is: O None O 5x^2+ 5x +1 O 4x+1 x^2+2

A:

Q: 19. The polynomial f(x) = (x – 2)3 = (x – 2)(x – 2)(x – 2) has æ = 2 as a zero four times. True…

A:

Q: show that when |z3| # |z4l, Izı|+ Iz2| I|z3| – Iz4|| Re(z1 + z2) Iz3 + z4| VI

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2. IFA = G * and B = ( ), find (24)" + B". 3 -4 2. If A = ( 5 -2 7 3 -9), find (2A)" + B". 1 | 3.…

A:

Q: 2. Determine whether the polynomial 1+ x + ? is a linear combination of P, = 2+x+x², p, = 1-x, p, =…

A:

Q: 2. IF'A = ( ) and B = ( ), find (24)" + B". 3 -4 2. If A = ( 5 -2 7 3 -9), find (2A)" + B". 1 | 3.…

A:

Q: If f1x2 = 2x3 + Ax2 + 4x - 5 and f122 = 5, what is thevalue of A?

A: The given function is: f(x)=2x3+Ax2+4x-5

Q: A third degree polynomial passes through the points (0,-3),(,0),(2,9), (3,30), (4,69) and (5, 132),…

A: Using Newton's forward difference method:f(x) = f(x0) + (r)∆y + (r)r-12!∆2y +  (r)r-1(r-2)3!∆3y…

Q: 11. If f(x) = 2x² + 7x + 3, show that ƒ(b + 2) = 2b² + 15b + 25. %3D

A:

Q: If y3 – 3ax? + x³ = 0, then prove that y2 + 2a?x?y-5 = 0

A: The proof is given below :

Q: ду Q5: A /Determine az if you knows that: z = (x2 + y2 - 2z Incos3x) дх ду %3D

A: To find the partial derivatives of given z=(x^2+y^2-2zlncos^3x)

Q: Q1) Compute the products using the definition as a linear combination. 8 3 -4 1 2 1 5 1

A: As per the definition of linear combination abcdef.x1x2x3=x1.ad+x2.be+x3.cf

Q: 4. If p(z) (4x – 5)(4x + 5), what are the zeros of the polynomial? = - and x = : O B. x = - and x =…

A:

Q: 9 Find a, b and c, given that the following pairs of polynomials are identically equa a ax? + bx + c…

A:

Q: determine the degree of the given polynomials. 5y6 + y4 - 2y2 - 8

A: The given polynomial is 5y6+y4-2y2-8

Q: Let a > 9 be a constant. Evaluate 3x2 + 30x + 30 + 4a dr (3x + a)(z2 + 6x + 10)

A:

Q: 4. Which of the following describes the end behavior of the polynomial y = –x³ + x? %3D as z -oo, y…

A: Here  function is given and we have to find the end behavior of function

Q: It is known that (x + 2) is a factor of the polynomial P(x) and that P(x)= (xtxt )X Q(x)+ (2xt3).…

A: We will find out the required value.

Q: It can be proven that the expression (a +b) a - ab +b-) is equivalent to which of the following…

A: Given,            a + b a2 -ab + b2

Polynomials

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