The polynomial 3x3 + mx2 - nx – 10  has a factor of x - 1. When divided by x + 2, the remainder is 36.       What are the values of m and n

Q: Determine which of the following gives the simplified form of the polynomial expression (8z+ 4) (4z²…

A:

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: What is the result when 2x3 + 14x² + 19x is divided by x + 2? If r(x) there is a remainder, express…

A:

Q: 5. The volume of a rectangular solid is given by the polynomial 3x- 3x - 33x + 54x. The length of…

A: volume of a rectangular solid is 3x4-3x3-33x2+54xlength of the solid is 3x and width is x-2

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

A:

Q: What polynomial should be added to 2x-5 so that the sum is zero?

A: Solution...

Q: What polynomial must be added to-7x3+8x-3 so that the sum is x2-x-1?

A:

Q: What is the result when x4 6x3 + 4x2 + 18x – 12 is divided by x-4? If there is a remainder, express…

A: We will use long division method to find the answer

Q: What is the leading term of the polynomial (v2z – 3x

A: The given polynomial is:  2x2-3x+963x-1433

Q: When x3+3x2-2x+7 is divided by x+1, what is the remainder?

A:

Q: . The polynomial 3x3 + mx2 - nx – 10 has a factor of x - 1. When divided by  x + 2, the remainder is…

A: given that x-1 is factor

Q: What is the value of k so that (x3 +4x 2+x + k)÷(x+2) give a remainder of 3?

A: To find the value of k so that x3+4x2+x+k÷(x+2) gives a remainder 3.

Q: What is the degree of the polynomial 3x4-5x3+7x2-2x+8?

A: Degree of polynomial: The highest or the largest power of the variable denotes degree of variable…

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: If the area of a triangle is x2−6x−16 m2 and the base is x−8 ​m, then what polynomial represents…

A: The area of a triangle is = (x2-6x-16)m2and the base is = (x-8)mwhat will be height of the traingle…

Q: Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states…

A:

Q: What is the degree of the polynomial5x4 - 2x3 + 4x2 + 5?

A: 5x4 - 2x3 + 4x2 + 5

Q: When (x3 - 2x2 - 5x+6)  is divided by 2x-6 the remainder is _____?

A:

Q: The polynomial -6x + 50x+ ax+ 24 has factors x-1 and 2x + 1. Determine the value of a.

A: Suppose px be the given polynomial such that px=-6x3+50x2+ax+24 And the factors of the polynomial…

Q: what must be substrcted from polynomial x^4 + 9x^3-5x^2-36x +3 to make it divisible by 4+ x^2

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Q: What is the result when 2x4 + 2x - 8x2 3x + 14 is divided by x + 2? If there is a remainder, express…

A: We will divide 2x4+2x3-8x2-3x+14 is divided by x+2. So, we need to evaluate 2x4+2x3-8x2-3x+14x+2.…

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

A: Polynomial (dividend) x4+x3-10x2-1 Remainder is 31 Polynomial (quotient) is x3 -3x2 +2x -8 To find…

Q: What is the remainder of the polynomial 6x- 25x + 3x + 12 when it's divided by... a) X-4 b) Зх — 2

A: We will use the long division method.

Q: Simplify the polynomial. 3x² – 2x² + 4x – x² + x - -3x2 + 5x 6х? - 5х 5x

A:

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

A: See the details solution below

Q: When 2x2 - 7x + 9 is divided by a polynomial, the quotient is 2x - 3 and the remainder is 3. Find…

A: We know that Dividend = (Divisor) (Quotient) + Remainder

Q: The polynomial R(x) is the remainder upon dividing x2007 by x-5x +6. If R(0) can be expressed as…

A: Given: R(x) be a polynomial which is a remainder and  R(0)=ab(ac-bc)

Q: What is the coefficient of x^7 in the polynomial (1+x+2x^2)^12

A:

Q: Given : When a polynomial x3 + x2 + 7x − 7 is divided by another polynomial, the quotient is x2 +3x…

A: We know that: dividend=divisor×quotient+remainder. Here given that: Dividend=x3+x2+7x-7…

Q: When a polynomial, P(x), is divided by 2x - 1, the quotient is x2 - 8x + 3 and the remainder is -12…

A:

Q: The volume of a rectangular solid is given by the polynomial 3x^4-3x^3-33x^2+54x.The length of the…

A:

Q: when x3+K x²-4x+2 is divided by x+2 the remainder is 26 find K,

A: Given query is to find the value of k.

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

A:

Q: When p (x)=x3 +kx2 +8 is divided by x +3, the remainder is the same as when q (x)=2x3+ kx -21 is…

A: Remainder Theorem  When a polynomial f(x) divides by x-a then its remainder is f(a)    So by…

Q: If the area of a triangle is x2 −2x−24 m2 and the base is x−6 m, then what polynomial represents…

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: What is the result when 2x- 13x2 - 5x - 14 is divided by x- 7? If r(x) there is a remainder, express…

A:

Q: 5. If the remainder dividing the polynomial P(x) = 2x³ + kx? + 7x +6 by x- 4 is 114, find the…

A: Quotient Remainder theorem  The answer after we divide one number by another. dividend ÷ divisor =…

Q: The polynomial -0.79x4+2.9x3+27.3 describes the billions of flue virus particles in a person’s body…

A: let p(x) is the polynomial then find p(3)

Q: Find the LCM of the given polynomial. 3x2 - 27,   2x2 - x - 15

A: The lowest common multiple of 2 polynomials can be obtained factorizing both the polynomials. The…

Q: If the result of a polynomial division is 2x3 -  4x2 – 5x + 23/x+2,  make at least four definitive…

A: Given: The given polynomial equation is 2x3-4x2-5x+23x+2

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: What is the degree of the polynomial, 16y3+10x25-119x56?

A: degree of polynomial is highest power of variable occurring in polynomial

Q: . If the remainder dividing the polynomial P(x) = 2x + by x-4 is 114, find the quotient and the…

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Q: what is the remainder when g(x)=x^{3}-3x^{2}+4x-12 is divided by (x-1)/

A:

Polynomials

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