( 3x² + 8x– 12 x³ +7x² + 12x | |(x+3)³ (x² + 7x+12).C O 3In|x+3| + Inx+ In|x+4| +C O 4ln|x+3|– Inx+ In|x+4|+ C In |(x+3)² (x² + 7x+12) +C

Q: 3x° + x-10 37x+38 a) Show that 3x-12 + x2 + 4x+4 (x+2)

A: To show that, 3x3+x-10x2+4x+4=3x-12+37x+38x+22

Q: The product of x* + x³ + 2x² and 2x² + 4x + 6 in z, [x]/ is: 5x^2+ 5x +1 O None O x*2+2 4x+1

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Q: 3. Given that f(x) = x³ + px? + qx – 3 is exactly divisible by (x – 1) and leaves a remainder of 3…

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Q: Given f(x)=3x^3+kx-11 and x-1 is a factor of f(x),then what is the value of k?

A: If any function f(x) has a factor (x-a), then the function value at x=a is 0.

Q: Зх-5 Given: (3х- 1)(х - 3) Find: u x-3 О 32 +3 О 3x2- 10х+3 Зх- 1

A: Explained below

Q: The product of 2x³ + 3x² +1 and 2x²+ 4 in z3 [x]/ is: O 5x^2+ 5x +1 None X^2+2 4x+1

A: The product of 2x3+3x2+1 and 2x2+4

Q: The average pollen count in a certain city on day x of the pollen season is P(x) = 6x − 0.2x2 (for…

A:

Q: Factor 4x3 + 4x² - x - 1. O a) (x + 1)(2x + 1)(2x - 1) O b) (x + 4)(x + 1)(x - 1) O c) (x - 1)(2x -…

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Q: 4 x + 8. Find x and B, if B = l2x – 3 x+1 is symmetric. 2x-3 x + 1]

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Q: The product of 2r³ + 3x² +1 and 2x² + 4 in z3 [x]/ is O 5x^2+ 5x +1 O None O x^2+2 4x+1

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Q: 18x- 2(3x + 1) = 5x – 16; Prove: x = -2 %3D

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Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5[x]/ is: 5x^2+ 5x +1 O None X^2+2 4x+1

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Q: P(x)= x^3 — 9x^2+ 11x+ 21; -1 The other zeros are x=

A:

Q: 1. Is x³ - 2√5x + x a polynomial? If not, state a reason. 2. Is -2020x a polynomial? If not,…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: The product of 2x³ + 3x² +1 and 2x²+ 4 in z5 [x]/ is: O 5x^2+ 5x +1 4x+1 О х^2+2 None

A: Given factor ring is ℤ5xx3+1 where ℤ5x is a polynomial ring over ℤ5. We have to find the product of…

Q: 1)Find the zero: 4x + 7 = 0       2) Find all zeros: 2x2 – 3x + 3 = 0

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Q: 1. The product of 3x²_5x² + 3 and 2x + 5x – 4 in z,[x]/ is а) 2x b) 2x + 1 c) 2x + 2 d) 2x + 3

A: .

Q: If the sum of the coefficients of all even powers of x in the product (1 + x + x² + ... + x2n) (1 –…

A: Introduction :

Q: 1. *Determine if (x - 1) is a factor of 7x - 8x2 - 13x + 2. 2. Divide: x* – 64 x+ 2 4. **If -2 < 3x…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: (g) ACN BC o{xeRxs -3 or x >2} XE -3 X < -3 or x 2 2 -3<x < 2

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Q: Compose. g(n) = -2n +1 h (n) = 2n – 3 Find (goh) (n). 4n - 1 B-4n + 7 An 3n 16 A,

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Q: If g(x) = %3D 4 - x2 then .? Select one: 8x2 O g (x) = (4 – x2)2 8x O g (x) = 4 - x2 8x O g (x) = (4…

A: We will solve the problem

Q: and y = 10x - 16 respectively are x = 2 and x = - 8 O x = 2 and x = 8 O x = – 2 and x = 8 O x = - 2…

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Q: Find the zero of P(x)=7x-12

A: We have to find the zero of P(x)=7x-12.

Q: Determine k such that Kx2 - 4x +1/2 = 0 has real and different solution.

A: To determine k such that kx2-4x+12=0 has real and different solution.

Q: The 4th term in the expansion of (2x -3x 10 is 10 C4 (2a) (-3x)³ O 10 C4 (2a2) (-32)4 10 C (2)…

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Q: 15 Find the domain of y = 4Vx-8. 1 x 2 8. O x2 -8 O x28 Ox > -8

A: The given function y=4x-8

Q: The product of 2x3 + 3x2 + 1 and 2x² + 4 in z3 [x]/ is: O x^2+2 O 5x^2+ 5x +1 O None O 4x+1

A: Given factor ring is ℤ3xx3+1 where ℤ3x is a polynomial ring over ℤ3. Given that fx=2x3+3x2+1 and…

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

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Q: 7. f6x4 – 2x3 – 21x² + 7x + 8 is divided by 3x – 1 to give a quotient of 2x3 – 7x and a remainder of…

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Q: What is the coefficient of x3y2x3y2 in the expansion of (2x−3y)5(2x−3y)5?

A: From the binomial expansion of (2x-3y)^5, we get the coefficient of x^3.y^2.

Q: Find P( -1.2 < Z < -0.2 )

A: Here need to find the Probability of z-score in between the -1.2 and -0.2. That means,…

Q: 3. Determine the value of K so that x+3x +kx - 24 has x +2 as a factor.

A: Solving the problem by putting the the value of zeros in given equation.

Q: The product of 2x3 + 3x2 +1 and 2x2 + 4 in z5 [x]/ is: X^2+2 None 5x^2+ 5x +1 O 4x+1

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Q: 2 0 Given that 3x² + p(1 – 2x) =-3. show that, for x to be real, p-3p – 9 2 0

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Q: A zero of the polynomial 8x3-10x2-x+3 in Z1s(x) is O a.x=-1 O O b.x-1 OCx-2 Od. None

A: From the option, we put the value of x and then find out value of equation , If zero will come its…

Q: 47. a) If (x – 2) is a factor of 2x – 3x + k, find k. - b) When ax – 4x² + 5x – 3 is divided by (x +…

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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

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Q: -2x xp- (1-x)' 7. Evaluate A. +6x-n(1-x)+-(1-x)* +C C. '+6x + n(1-x)' + (1-x)*+c D. x+6x + In(1-x)"…

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Q: of “a” if (x2/3)(x1/4) = xa

A: The function is given as x23x14=xa. Simplify the expression to find the value of a. x23x14=xa Apply…

Q: (2) Determine k such kx² – 4x +- = 0 that has real and different solutions.

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: 5. Show that: a. x* + 9x³ + 4x + 7 is O(x*) b. x? + 4x + 17 is O(x³)

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Q: -2 0 -0.99 -0.12] Find the QR factorization of A -1 4 given Q -0.24 -0.12 0.96 -4 1 -0.97 0.03 -0.24

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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: 3) Determine the value of k such that when f(x) = x* – 3x+ kx² + 2 is divided by x – 2, the…

A: Solution: As per our guidelines we are supposed to answer only? One question ( if there are multiple…

Q: 10) x² + y² - 28x - 6y + 189 = 0 12) x² + y² - 32x+22y+376 = 0 2 14) x² + y² - 4x + 24y + 144 = 0…

A: Standard form of a circle is x-h2+y-k2 =r2,    where h, k  is the center of the circle and r is the…

Q: The product of 2x³ +3x² + 1 and 2x² + 4 in z3 [x]/ is: O x^2+2 O 5x^2+ 5x+1 O None O 4x+1

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Q: The product of 2x³ + 3x² + 1 and 2x² + 4 in z5 [x]/ is: O 5x^2+ 5x +1 O None x^2+2 4x+1

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Q: * Evaluate (4x-7x-19 x² – 2x - 3 A none of these B -21n|x+1| + In|x- 3| + C © 2ln|x+1|- In|x– 3| + C…

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Q: Q.22 Factorise using factor theorem: (i) y² -5y+6 (ii) x² +4x-5 (iii) y² –2y-15 Factorise: (i) x -…

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