A polynomial D(x) = 3x³-2x² – 15x + 14 has known factors (x–2) and (x-1) . Would you use a diagram, long division, or some other method to rewrite the expression for D in factored form? Explain your reasoning.

Q: +2x-2 h(x) 5x +

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Q: The polynomial 3x4 - 2x3 + 13x2 - 5 is of degree . The leading coefficient is _______ .

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

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

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. - 4x3 + 5x2 +…

A: Solution:given polynomial is   - 4x3 + 5x2 + 8 ; x + 3

Q: Use the Remainder Theorem to completely factor p(x) = x3 - 6x2 + 11x - 6.   please explain this…

A: Given: px=x3-6x2+11x-6 For doing factors of given expression, we first use hint and trial method So,…

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Q: Solve the problem using synthetic division. Determine if x-k is or is not a factor.

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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: How do you factor a polynomial with a leading coefficient greater than one?

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Q: (3z2 – 14z - 5) (r - 5) =

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Q: Use the long division method to find the result when 3x³ + 10x² – 3x – 13 is divided by 3x+ 10. If…

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Q: Explain how to solve x? + 6x + 8 = 0 using factoring and the zero-product principle.

A: Given quadratic equation is: x2+6x+8=0 Using middle term factorization we get,…

Q: Find a polynomial of degree 3 that has zeros of 3, 4, and 5, and where the coefficient of x? is 8.…

A: polynomial of degree 3 has zeros of  3, -4 & 5 and coefficient of x2is 8Let the polynomial be…

Q: Find the factor of polynomial 4x^3-8x

A: Given the polynomial  4x^3 - 8x  We need to find all possible factor of this polynomial.

Q: 9) Is x-2 a factor of x3 - 13x + 12?

A: To determine whether x-2 is a factor of x3-13x+12.

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. 4x4 - 15x2 -…

A: By using synthetic division                        x-2 = 0                          x = 2

Q: The area of a rectangle is 2x^3+5x^2-x-6 sq m. Write a polynomial that represents its width if its…

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Q: Find the quotient of the polynomials using LONG DIVISION. Show your solution. (3x3 + x2 -  22x –…

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Q: The graph of f(x) = 32x3 - 52x2 + 17x + 3 is shown in a [-1, 3, 1] by [-2, 6, 1] viewing rectangle.…

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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: How can the Factor Theorem be used to determine if x - 1 is a factor of x3 - 2x2 - 11x + 12?

A: Given: the polynomial function fx=x3-2x2-11x+12.

Q: The value of the polynomial 5x - 4x2+3 , when x = -1

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Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. 3x4 - 6x3 -…

A: Solution: given3x4 - 6x3 - 5x + 10; x - 2 is a factorby using synthetic division

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. 4x3 - 3x2 -…

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Q: Explain how to solve x2 + 6x + 8 = 0 using factoring and the zero-product principle.

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

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Q: One of the zeroes of the polynomial 2x2+7x-4 is

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Q: How many zeros does the polynomial 3x2 + 2x + 1 have in Z6?  I thought it was three but that was…

A: Solution: Given Polynomial is  3x2+2x+1   over  ℤ6

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A: Given zeros of the third-degree polynomial, -6, 7i, and -7i

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Q: Use synthetic division and The Factor Theorem to determine if (x + 3) is a factor of M(x) = 3x +7x2-…

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Q: One factor of f(x) = 4x° + 20x2 – 6x -30 is (4.x – 6), determine the factored form (with real ents)…

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Q: The polynomial 3x2 + bx - 4 has x - a as a factor, where a #0. Express b in terms of a.

A: Given polynomial is 3x2+bx-4...........(1) (x-a) is a factor of (1), so plugging x=a in the given…

Q: Show that  2x-3 is a factor of x+2x3-9x2+12

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Q: (x - 2) is a factor for x2 - 5x + 6. صواب (خطأ

A: For   x-a to be a factor of a quadretic equation then x=a is a solution of the quadretic equation.

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. 2x6 - 18x4 +…

A: Given polynomial, 2x6-18x4+x2-9; x+3.   Here, the divisor is x+3=x--3. So, place -3 to the left of…

Q: A rectangle has a height of 3c* and a width of c - 4c +3. Express the area of the entire rectangle.…

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Q: Written as a simplified polynomial in standard form, what is the result when (2x + 1)² is subtracted…

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Q: The binomials (x- 2) and (2x +3) are the factors of which polynomial?

A: We have to find the polynomial which the binomials (x - 2) and (2x + 3) are the factors . Then ,…

Q: Consider the polynomial – 4x° + 5xª – 15x³ – 9x + 24 . - - What is the degree of the polynomial?…

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Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

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Q: To find the possible roots of the polynomial 4x3 + x4 - 7x² - 8x - 8

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Q: find  the remainder when the polynomial 2x4 -5x3 +12-7 is divided by (x+1)

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