Consider solving 2x + 11x – 7x - 6 = 0. The synthetic division shown below indicates that, is a root. -6 2 11 -7 -6 -12 6. 6. 2 -1 -1 Based on the synthetic division, 2x + 11x2 – 7x - 6 = 0 can be written in factored form as, %3D

Q: Find m so that x+4 is a factor of 5x^3 + 18x^2 + mx + 16

A: As per factor theorem (x-a) is a factor of p(x) if p(a)=0. Here given p(x)=5x3+18x2+mx+16 and (x+4)…

Q: 4 Is x + 3 a factor of x* + 2x° – 6x2 - 9x + 0? Select an answer The remainder when you divide is Is…

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Q: 8. Which of the following is NOT a factor of x4- 4x2 ?

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A: For solving a polynomial equation put

Q: How do I solve this polynomial by factoring? 2y^3-11y^2+12y=0

A: Given polynomial:     2y3 - 11y2 + 12y = 0

Q: Find the factor of x^2-8x+16

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Q: Solve the following equations of the following polynomial   2x^3-8x^2-24x=0

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Q: Find m so that x + 5 is a factor of - 3x - 10x + 20x - 22x + m.

A: Given: x+5 is a factor of   -3x4-10x3+20x2-22x+m. To find: The value of m.

Q: A student is trying to use long division (at the right) to solve the following (3x³ – 4x? – x + 1) +…

A: To find: The second quotient term while dividing (3x3-4x2 –x+1) by divisor (x+1), using long…

Q: 4. x-2x+1= 3

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Q: This question must be solved by "factoring". Be sure to show your work accordingly. 1 - 10 = 3x o…

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Q: Consider solving 2r' + 11x² – 7x – 6 = 0. The synthetic division shown below indicates that is a…

A: The given equation is 2x3+11x2-7x-6=0. The synthetic division is, -6   2   11   -7    -6…

Q: Expand (x + 4)(x – 5) and use this answer to write down the quadratic equation in the form ax2 + bx…

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Q: - 20x – 12 and the length is given Which is the possible width of a rectangle if the area is given…

A: Given: Area of the rectangle. Area=4x4+2x3+8x2-20x-12 The length of a rectangle is 2x+1 Formula:…

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

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Q: This polynomial is not factorable, so you need to use the complete the square method. Solve the…

A: Here given equation as x2-4x+29=0 or x2-4x=-29 adding 4 on both sides…

Q: 15. Explain why the following polynomial equation has no teal solutions: 0 = 5x8 + 10Ox + 7x + 18x2…

A: Given : Polynomial 0 = 5x8 + 16x6 + 7x4 + 18x2 + 132   To find : Why the given polynomial has no…

Q: Andy factored the polynomial 16h2 81. His work is shown below. 16h2 81 = 4h2 92 %3D (2h + 3)(2h 3)…

A: Given that andy factored the polynomial 16h2  . Now we find the factors of this polynomial.  WE know…

Q: I. Find the value of k so that the remainder in each division problem is (a) 21. (2x³ + 3x² + kx-2)…

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Q: Divide. (x° - 4x2 - 9x - 4) + (x+ 1) - 4x? - 9x - 4) - (x+1)=D+x1 (Simplify your answers. Do not…

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Q: What is the equation whose roots are reciprocal of the roots of the equation of 2x2 + 5x + 2 = 0?

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Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X

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Q: Find the value of k for which the first polynomial is a factor of the second polynomial. x-5,-x +2x…

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Q: Find m so that x+5 is a factor of 5x3+29x2+mx+20

A: Let f(x)=5x^3 + 29x^2 +mx+20 , if (x+5) is a factor of f(x) then by factor theorem f(-5)=0

Q: Show that x² – 4 is a factor of x* - 5x³ + 2x? + 20x – 24.

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Q: Find the roots of the given  4x2+4bx-(a2-b2)=0

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Q: If 3x is one factor of 3x-9x, what is the other factor? 1) 3x 2) x²- 6r 3) x-3 4) x+3

A: To find the correct factor.

Q: If (2x +3) is a factor of 4x + ax2 +2x +3, find the value of a. सनं म

A: a=?

Q: Is 5 a root of x* 5x' + 8x– 40? Is (x + 1) a factor of x- 1?

A:

Q: Given that 3 is a root of a given polynomial, what can you say is a factor of that polynomial? A 3 x…

A: If x = 3 is a root of the polynomial  Then x-3=0 So, x-3 will be a factor of a polynomial  As we…

Q: Find the value of k so that the remainder is 4 when x – kx² + 2x – 8 | is divided by x + 3.

A: According to reminder theorem, if a polynomial p(x) is divided by the binomial (x—a) then the…

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

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Q: When factoring to reveal the roots of the equation + 212 – 9x – 18 = 0, which equations can be used?…

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Q: Consider the equation 9x2 + 14x-8 0. Part A Which of the following are the factors of 9x + 14x – 8?…

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Q: Find the specific solution. Hint: factor by grouping in pairs first. x" + 2x" - 9x'- 18x = 0,…

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

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Q: Find m so that x + 4 is a factor of 5x3 + 18x2 + mx+ 16

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Q: x^2+3xy+2y^2+4x+7y+3 Factor with all complete steps please thank you!

A:

Q: Find m so that x+4 is a factor of 5x^3 + 18x^2 + mx + 16 i need a detailed explanation, please.

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Q: (a) Factorise z6 + 1 over the real numbers.

A:

Q: 4. Use the Zero Product Property to solve for æ. a. (æ + 13)(a - 7) = 0 b. (2x + 3)(3x – 7) = 0 c.…

A: a) (x+13)(x-7)=0b) (2x+3)(3x-7)=0c) x(x-3)=0 Note:   Multiple sub parts are given, we are answered…

Q: In 3x?+8x = 12)dx x3+7x2+ 12x , the complete factored form of the denominator is x(x+4)(x+3) A True…

A: In this question we have to determine whether the statement is true or false.

Q: 2) How many roots does the polynomial have ? a) 2x - 4x? + 9x - 1 b) 2x* - 9x 1

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Q: Which is a factor of x + 5x - 24? 1) (x+4) 2) (x-4) 3) (x+3) 4) (x- 3)

A: The given polynomial is                   x² + 5x — 24 We want to find the factors of the given…

Q: Which of the following is not a factor of 45x-5? (1) 9x2-1 (3) x-5 (2) 5 (4) 3x+1 O 2 3

A: We have to check

Q: If (x + 3) is a factor of x3 – 13x – 12, what are the other factors. А. (х — 6) and (х + 2) В. (х —…

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Q: The polynomial P is graphed. 5- 4+ 3- 24 -3 -2 -1 1 -2+ -3+ -4 What is the remainder when P(z) is…

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Q: This question must be solved by "factoring". Be sure to show your work accordingly. 6r – 64 + 5r =…

A: We will factorize the given equation

Q: Is x + 4 a factor of x° + 8x? 3x 76? Select an answer O The remainder when you divide is Is 2x 7 a…

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Q: Write the complete factored form off(x)=2x^3-3x^2-32x-15 given that k=-3 is a zero.

A: To calculate the complete factor of the function f(x)=2x3-3x2-32x-15 and the one zero of the…

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.