13. Multiply and simplify. (3xy - 26)(3xy+ 2b) OA.9xy - 4b O B. 9xy + 4b O C. 9x y + 10bxy 4b2 O D. 9x²y – 4b² 14. Factor completely. x + 9x + 20 OA. (x +4)(x+5) OB. (x +2)(x + 10) OC. (x-4)(x - 5) O D. Can't be factored 15. Factor completely. 5x-y-9xy +4y A. (x/5y + 2)² B. -y(x + 1)(5x – 4) (1 - x)( - xS)í 'Ɔ

Q: Determine values of a and b for 3x^4 - 12x^3 +ax^2 + 34x + b when (x-4) is a factor and there is a…

A: If x-a is a factor of f(x) , then f(a)=0 .

Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is 4x² + 3x + 6. a) True b)…

A: We decide whether given statement is true or false

Q: What is the result when 4x - 11a - 24x2 + 19x – 12 is divided by T(x) 4? If there is a remainder,…

A:

Q: Find the AREA of the Rectangle. X+7 2x - 10 O r- 17 O 3x 3 2.x2-70 O 2x2 + 4x - 70

A:

Q: 9. When the polynomial x+2x +bx+5 is divided by x+4 the remainder is 33, find the value of b.

A: We are solving the first question anfd for the next question post the question again and alsomention…

Q: 3. Find the quotient and the remainder for (x4 + 8x² − 6x − 3 ) ÷ (x+2).

A: 3. A polynomial p(x) can be written as p(x)=q(x)d(x)+r(x)⇒p(x)d(x)=q(x)+r(x)d(x) Where, d(x) is…

Q: Factor completely the following expressic 25ax+ 5a*y-15bx-3by O A. (5x- y)(3a + 5b) O B. (5x- y)(3a…

A: Factorise

Q: If  x3 + 7x - a has a remainder of 1 when divided by x+1 then a has a value of __?

A: Please refer the attached image for complete solution.

Q: .When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

A: use the relation between dividend and divisor for finding the polynomial.

Q: Factor by grouping. xy + 5y2 + x + 5y

A:

Q: II. Factor completely. 1. 12xy - 8x? 2. 10b?- 15a’b² 3. 4x(x+1)-4(х+1) 4. 4x²-9y 5. xy"-y* 6. -y° +…

A:

Q: 42,5 Factor the trinomial -42x°y -24xʻy% - 54x°y7 O 6xty (-7xy- 4x – 9y?) 4,,5 O-6a (7x²y®+ 4.xy5 +…

A:

Q: 5. Multiply the polynomial p(r) = 3x – 2x2 – 7 by the polynomial q(x) = 4x – 1. You must show your…

A:

Q: Factor completely a. 9−16r9  b.m2 −4p2 c.x2 −1/4

A: We have to factor completely the following: 9-16r2 m2-4p2 x2-14

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: oan What is the result when 2x + 13x2 + 15x 15 is divided by x +3? If there is a r(x) . (2)q…

A:

Q: Find the remainder if 3x3 – 4x2y + 5xy2 + 6y3 is divided by x2 – 2xy + 3y2.   A. 2   B. 1   C.…

A: Topic = Algebra Remainder = 0

Q: Completly factorize x5 + 4x4 + 7x³ + 8x² + 4x + 2 in Q[x]. Justify that the found factors are…

A:

Q: 17. Find the discriminant of 8x -x +7= 0.

A: topic - discriminanat

Q: 9. Find the quotient and the remainder of x³ + 2x² – 1 divided by 3x2 +1 in Z7[x].

A: Note that for Z_7  Any number is equal to the remainder when it is divided by 7.

Q: 8. If (3x- 5x + 5y– 2) is subtracted from (-2x² + x- I), what is the coefficient of x in the result?…

A:

Q: 4. When the polynomial P(x) is divided by (x-2)2 the remainder is 3x - 3. What is the remainder when…

A:

Q: Which statement about 6x + 7x – 10 is true? O One of the factors is (x + 2). O One of the factors is…

A: To factorise ax2+bx+cwe have to break 'b' in such a waythat sum is 'b' & the product is ac.

Q: What is the remainder when (5x^100 + 5) is divided by (x – 1)? * - 10 5 10 - 5 Factor:…

A:

Q: (d) Show that x^2 − 4 is a factor of x^4 − 5x^3 + 2x^2 + 20x − 24.

A:

Q: Q2. Factorise completely (i) 3x − 6y + ax − 2ay (ii) p2 − 1 (iii) x2 − x − 12 (iv) 2x2 − 5x − 7

A:

Q: Find the remainder when: 3x3-2x2-4x+1 is divided by (x-2); and (x +3) When 3x -2x-4x + 1 is divided…

A: remainder is (9) remainder is (- 86)

Q: What is the result when 16x + 4x° - 14x2 - 23x - 3 is divided by 4x2 1? If there is a remainder,…

A:

Q: 2) Write the factored form of the equation for the given polynomial. y (-1, 4) 4 -5 -2 -4

A:

Q: b. Find a QR-factorisation of 1 -1 1 1 1 1 -1 0 |

A: Step:-1 Given matrix  is  110-1010111-10 Let  A= 110-1010111-10 Now, we'll apply Gram-Schmidt…

Q: Is (z-4) a factor of 6z -272+ 16z-8 O No, it is a not factor. OYes, it is a factor.

A: According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number,…

Q: 2. Determine whether x + 1 is a factor of x27 + 4x20 – 3x15 – 6. -

A: We have to solve

Q: Find the quotient and the remainder when  2x^4+3x^3+x+1 is divided by 3x^2+1 in Z5[x].

A: We have to find the quotient and remainder when 2x4+3x3+x+1 is divided by 3x2+1 in ℤ5x

Q: Compute the quotient and the remainder of (3x – 8x² – 36x + 5) ÷ (x – 5)

A:

Q: 14. Factor completely. x+9x + 20 O A. (x + 4)(x + 5) O B. (x + 2)(x + 10) O C. (x – 4)(x - 5) D.…

A:

Q: The polynomial 6x^3 + mx^2 + nx - 5 has a factor of x + 1. When divided by x - 1, the remainder is…

A:

Q: To add polynomials, we add terms. So

A: We have to fill in the blanks: To add polynomials, we add ________ terms. So…

Q: 4. What is the dividend if the divisor is x- 3, the quotient is -2x* + 4x - 6x + 3, and the…

A:

Q: By what polynomial must x3-4 x2y+5xy2-2y3 be divided to obtain a quotient of x-y?

A:

Q: If 2x³ 2x² - 9x² + 4x 7 is divided by x - 3 to give a quotient of 3x - 5 and a remainder of -22,…

A:

Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is_ 4x² + 3x + 6 . a) True b)…

A: Note: We are allowed to solve only one question at a time kindly upload other questions as different…

Q: Use the grouping method to simplify the expression (x + 3)(x- 4). Distribute the factor, to the…

A: Given expression is x+3x−4. Distribute the first factor x+3 to the second factor x-4. So both terms…

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

A:

Q: 6.When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

A:

Q: Factor completely Y+z+7cy+7cz

A: Given y+z+7cy+7cz

Q: The polynomial 12a2 - 1862 is exactly divisible by: OA. √6(a - b) O B. √2a-√3b O C. 12a + 18b OD.…

A:

Q: Subtract. (4y² + 7yq + 7q³) – (5y² + 9yq)

A: We need to simplify the following expression 4y2+7yq+7q2 - 5y2+9yq

Q: _3. Which polynomial gives a quotient of (3x² + 2x + 4) and a remainder of 19 when divided by 2x -…

A: Division algorithm