For what value of a will five of the six real roots of 6xº + 7x3 – 43.r – 153 + 4922 + ax polynomial 2r" + xª – 15x³ + 5æ² + 13z – 6? 12 be shared by the

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: Determine the real root of x35=80: with the false-position method to within ES=2.5%. Use initial…

A: According to the given information, it is required to find the real root using the false position…

Q: Find the roots using bisection method using initial guess 3.6 and 5 with an accuracy of 2%

A:

Q: is divided by each binomial. Verify your answer using Synthetic Divi 1. 4x3 + 7x2 - 4x-8; X- 3 2.…

A:

Q: This equation is all about the roots and rational exponents in which evaluate the expression without…

A:

Q: o three decimal places

A: Let              f(x)=x3-20

Q: how many roots does -2x^(2)+8x^(9)-10x^(5)+12 have?

A: Roots of a polynomial are determined by its degree. Degree = highest power of x in the given…

Q: Written as a simplified polynomial in standard form, what is the result when (2x + 4)² is subtracted…

A: Explanation of the solution is given below...

Q: Solve for 0 if 8sin 0 + 8 = 12 and 0 < 0 < 2n

A: Given : 8sinθ+8 = 12

Q: Determine the value of n if one of the roots of 2x2 - 16x + n = 0 is 4- V7.

A: We will find out the required value.

Q: Find two positive integers such that the sum of the first number and five times the second number is…

A: Solution

Q: 4. Determine the sum and the product of the roots of 3x2 11x – 6. %3D

A: Sum of roots = 11/3 Product of roots = 2

Q: List the roots and corresponding multiplicities of the polynomial equation   x^10+16x^9+64x^8=0.…

A:

Q: Find the smallest positive (real) root of x3- 3.23x2 - 5.54x + 9.84 = 0 by the method of bisection.…

A: To find he smallest positive real root of the equation x3-3.23x2-5.54x+9.84=0. .

Q: Use synthetic division to divide 4x4 – x2 – 19x +7 by x – 2. - Write just the numbers of the 3rd row…

A:

Q: List all the possible rational roots of 4x* – 2x³ – 6x² + 22x – 15 =0.

A: To find all the possible rational roots

Q: A polynomial is given below. 3x° + 2x – x +7 | Which statement must be true about this polynomial?…

A: The degree of the polynomial is 6.  For a polynomial the maximum number of roots are equal to the…

Q: 3 y=(1+x*) * x4 - x

A:

Q: The number of polynomials having zeroes as -2 and 5 is

A:

Q: Three possible products whose factors multiply to  − 2 are

A: Consider x, y, and z as the three factors of the product -2. The possible values for the three…

Q: Find the least common multiple of the denominators of 1/ (x2 - 1)  and 3/ (x2 + 4x + 3)

A: Given: 1x2-1 and 3x2+4x+3

Q: Find the polynomial that interpolates the points (-2,4), (-1,0), (2,-1), (2.5,0), (3,1), (4, 2). Use…

A:

Q: Rationalize (2/(-2-square root of 7))

A:

Q: What are all the roots of x5 – x4 – 3x3 + 3x2 – 4x + 4 = 0

A:

Q: Suppose 34 is a root of a polynomial equation. What does this tell us about the leading coefficient…

A: we have been given that the root of a polynomial equation is 34. we have to tell about the leading…

Q: Express as a polynomial.

A: Given expression is  3x+2x-55x+4   It is known that a+bc+d=ac+d+bc+d=ac+ad+bc+bd

Q: How many roots does x2 − 4x + 5 have

A: Answer: 2 roots

Q: For what value of a will five of the six real roots of 6x6 + 7x5 _ 43z4 - 153 + 49z2 + ax polynomial…

A: For what value of a will five of the six roots of polynomial P(x) be shared by the polynomial Q(x)

Q: Determine the positive root of x4+0.8x3-2.5x2-3.5x-24.3=0 Use any methods

A: Let's find.

Q: If x=9 is a solution to a polynomial equation, then (x-9) will be a factor a that polynomial

A: The given statement is true.

Q: Find the root using Regula Falsi Method (show your table) x^2-6x+9=0   Ans. x=3

A: Regula falsi method or false position is a numerical method to solve equations in one unknown. This…

Q: 28. Express xg - x as a product of irreducibles over Z2.

A: The given polynomial is x8-x. This can be written as x8-x=xx7-1.

Q: Express as a polynomial. (5x + 7y)(3x - 2y)

A: Given that, the polynomial   (5x + 7y)(3x - 2y)   We need to  simplify the given polynomial.

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: Find the least common denominator of[(3/x2 - 6x + 9) and (7/x2 - 9)]

A: Given, expressions, 3x2-6x+9  and   7x2-9

Q: What are three possible products whose factors multiply to -2

A: To find  The three possible product whose factors are multiply to -2.

Q: What are all the possible rational roots of 2x³ + 3x² – 10x +4=0? 글 only A B +1, ±2 only +1, ± 2, ±…

A: Possible ration rational of any polynomial are ±Factors of constant termleading coeficient Therefore…

Q: how many polynomials are in this equation x^5-2x+x^9-9x^6

A: This is single polynomial of degree 9

Q: Find the approximate root of x^3+5x-2=0 by using bisection method. Typed solution needed otherwise…

A: Given,            x3+5x-2=0

Q: polynomial

A: We have to find the following conditions according to the given information

Q: Determine between which consecutive integers the real zeros of Ax) = 3x - 5x² + 5x +7 are located on…

A: Given : f(x)  =3x3-5x2+5x+7 Interval [ -10 , 10]

Q: ues of p will 3x(4x+3)=-p have non-real root

A: Given Equation 3x4x+3=-p The value of p is found such that the equation has a non-real root.

Q: Express as a polynomial. (2x + 5)(3x _ 7)

A: Given: 2x+53x-7

Q: On a blank sheet of paper (lined or not), write any two different positive integers less than 10. In…

A:

Q: If when dividing 5x3+6x4-1 by x+3x2-2, a remainder of the mx+n form is obtained, calculate the value…

A:

Q: Find the 3rd root of x^4-8=0

A:

Q: Show that the equation has exactly one real root. 25 + 6x + 7x^5 + 4x^7

A: Given equation is    25+6x+7x5+4x7   First if we look at the limits of our function we see, that:…

Q: Discuss the possibilities for the roots to : 2x'-5x - 6x+4 = 0 12. 3x - 5x -x² -8x+4 =0

A: We can use Descartes rule of signs to check the nature of possible roots of the given function, P(x)…

Q: All polynomial expressions should be written in (5) form, meaning that the terms are placed in (6)…

A: To find- Complete the sentence.  All polynomial expressions should be written in 5…

Q: How do I integrate a fraction where there is a monomial in the numerator and a binomial in the…

A: In order to integrate the rational function whose numerator is monomial and denominator is binomial,…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.