4.  Show that X2? −4 is a factor of x4− 5x3 +2x?2+20x−24.

Q: Given that (x−2)(x−2) is a factor of x^3+x^2−5ax+2a^2 , 'a' can take the value of 2 or which other…

A: Given,           (x−2)(x−2) is a factor of x3+x2−5ax+2a2.

Q: b) 4(x – 4)(x + 2)² (2x – 1)³ < 0 - -

A:

Q: (4ху? — 1)x2 + у(2x4 + у)у' %3D5; у(1) — 1

A:

Q: Is there a way to eliminate some of the combinations of factors for x + bx + c when c is positive?

A: To eliminate the factors from the quadratic

Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your…

A: The given differential equation is, y′=5ex −6x3 +4x.

Q: Solve for w. w-10w+21=0 ution

A: Given, w2-10w+21=0

Q: 7. Evaluate jir de 1 2 + 2x2 Solution;

A: Topic:- definite integration  Note:- as per our guideline if more than one question uploaded than…

Q: When p (x)=2x+kx +1 is divided by x+1, the remainder is the same as when q (x)=3x4+ kx² +2 is…

A: After calculating the division of two function, we will equate the remainder values to Find k valye

Q: Ifh(4 – x) = x² + x + 1, what is the value of h (8)?

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Q: If [2x 3] 1 21 -3 0 8 = 0, then the value of x is

A:

Q: What is the solution to x² - 9x 8 Ox1 01<x<8 0-8<x< 1

A:

Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

A:

Q: What is the largest number k for which 2x+3y=20 and 3x+4y=k have the same number if positive integer…

A: Given that, there are two equations following, 2x + 3y = 20…

Q: If 3x+3y=4 and 3x+8y=9 then what is x ?

A: Explanation of the answer is as follows

Q: If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?

A: Explanation of the answer is as follows

Q: Solve for z. 10) +10 58/ 11x+2)

A: Hello, Thank you for the question. As per our guidelines, We’ll answer the first question since the…

Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

Q: Show that 12 2 dr = In (7+ 4v3). x² – 8x

A:

Q: What is the largest number k for which 2x + 3y = 20 and 3x + 4y = k have the same number of positive…

A: Given: 2x+3y=20...............eq(1) 3x+4y=k..................eq(2)   To find:What is the largest…

Q: %23 Find the only solution. 5x – 7 3 - 7 x +5

A: To find the only solution of the following equation,

Q: When dividing x^3+2x+4 by 3x+2 in Z7[x], the remainder is * O 4 O None of the choices 2.

A:

Q: For what values of a and b are x +1 and x +2 factors of xr² ax-bx -82 Write down the other factor.…

A:

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

A: Group of integers modulo 5 Z5=0, 1, 2, 3, 4 Now  Z5x denotes the ring of polynomials with…

Q: 10. When dividing x* + 3x? + 2x + 1 by x² + 2x + 3 in Z5[x], the remainder is а) 0 b) 2 c) 3 d) 4 a)…

A:

Q: 20. The sum of the roots of 3x² - 6x + 12 =0. a. 3 b. -3 с. 2 d. -2

A: Given that, the quadratic equation is                                            3x2-6x+12=0…

Q: 1. Which of the following is a factor of x² – 9x + 20 ? - A x-9 X-4 C x+4 X+5 E x+20 B.

A:

Q: What is the coefficient of x 9 in (x 3 + x) 5?

A: What is the coefficient of x9 in x3+x5.

Q: Eliminate the arbitrary constant in x^3 - 3yx^2 = c. *

A:

Q: 2) If a + bi is the remainder when P(x)=x²1 - 8x5 + x is divided by x +i, then a + b = A) -8 B) 6.…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 10.10) What is the least common denominator of (1 Point) 3 and 1 ? 3x3 6r2 9x O A.9x B. 18x O C.27x…

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Q: 1(d) Show that x − 4 is a factor of x − 5x + 2x + 20x − 24

A:

Q: How many integer solutions are there to the equation x+y+z=10 if x, y, and z are all bigger than -2?

A: Given, x+y+z=10 x,y,z&gt;-2

Q: 24 Væ – 2 or how many positive integers, x, does the expression have no x2 – 2x – 8 - eal solutions?

A: Reupload 4th question

Q: If p(x) = x²- 2/2x + 1, then P(2v2) is equal to

A:

Q: 16. Study the stability of the trivial solution of x" + 5x" + 9x' + 5x = 0.

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

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Q: 24 Use the diagram to solve for x, FG and FH. 4x 7x +6 FG = FH = 6 8 9 DELL -> 23 $ & 3 4 7 8.

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Q: If x = 9 is solution of An (x²+15a²) – An (a – 2) =àn 8ax then а-2

A: Introduction :

Q: 13. Select all the products that are less than x 5. X5 9x는 @ e x 4

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Q: Find the value of "x * 4y + 25 бх - 7 4x +2 7y 5

A: We will find the value of X from given figure as shown below

Q: 2. The square of an imaginary number: A. Can never be negative. B. Can never be positive. C. Might…

A: Given that square of an imaginary number.

Q: If x – 2 is a factor of x3- 4x2 + 8x + k then the value of k is

A: Given: x-2 is a factor of x3-4x2+8x+k.

Q: The product of x* + x3 + 2x? and 2x² + 4x + 6 in z, [x]/ is:

A:

Q: 11 If P(x) 2x* + 6x3 + kx² – 45, find k for which P(-3) = 9.

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Q: What are the solutions to (6x + 1)(x - 7) = 0? 1/6,7 O 1/6, -7 O-1/6, 7 O-1/6,-7

A:

Q: 四同 1 こ-

A: using the definition of linearly independence, we solve the given problem in next step......

Q: Consider Evaluate ( 3x² + 6x ) e *+2) (6x2+ 3x) e +y2) (6x+9x)e+y2) O (9x4+6x) e *+y2)

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Q: 1. Show that x + 4 is a factor of x* – x3 + 3x² – 3x + 356. -

A:

Polynomials

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