Factor the polynomial and use the factored form to find the real zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x4 − 3x3 + 2x2

Q: Factor the polynomial completely. If the polynomial cannot be factored, write "prime." x2-3x-54

A: Compute the factors of the trinomial x^2-3x-54 as follows.

Q: Use synthetic division to find the quotient and the remainder when the first polynomial is divided…

A: Please refer to the image below.

Q: Factor the polynomial. 7) Factor f(x) = 6x³ + 31x² - 29x + 6 given that %3D is a zero. 3

A: Given polynomial is : fx=6x3+31x2-29x+6 13 is one of the zeroes To factor the polynomial.

Q: Part of the roof of a factory is devoted to mechanical support and part to green space. The area of…

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Q: Factor the polynomial completely. If the polynomial is prime, so state. 15) x2 + 6x + 8

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Q: a. Rewrite the polynomial 2x² + x in standard form. ° +-7x + 1 b., What is the leading coefficient?…

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Q: Factor completely over the real numbers. 21. f(x)=5x' +19x² +16x–4

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Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A: Given :

Q: Factor a negative number or a GCF with a negative coefficient from the polynomial. - 7x-21 - 7x-21 =…

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Q: (2x − 1) is a factor of the polynomial 6x6 + x5 − 92x4 + 45x3 + 184x2 + 4x − 48.Determine whether…

A: The factors of a polynomial decompose the polynomial into two or more polynomials, so the product of…

Q: Completely factor the polynomial y = 2x³ + 3x² + 50x + 75 given that x is a 2 zero.

A: Factorization is the process of splitting the expression into most simplest form. Most commonly, the…

Q: Factor completely, or state that the polynomial is prime. 16a2 x - 25y - 25x + 16a2 y

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Q: Factor the polynomial:  x2-49a2+14x+49

A: Given,

Q: Factor the polynomial completely 12x5-4x4+28x3

A: Since you have posted multiple questions as per our policy we will answer first question. Please…

Q: Factor the trinomial completely. If the polynomial cannot be factored, say it is prime. 3x2-xy-4y?…

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Q: Divide the first polynomial by the second. State the quotient and the remainder. x3-3x2-20x+12…

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Q: Factor the polynomial completely. (If the expression is not factorable using integers, enter PRIME.)…

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Q: Factor the polynomial completely over the real numbers: p(x) =x° - 7x -18x

A: 1. Take the common. 2. Split the middle term. 3. Make the factors.

Q: Factor the polynomial. x4 + 2x3 - x - 2

A: Given: Px=x4+2x3-x-2 For factorizing given polynomial, we take common then simplify it

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

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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: Factor the polynomial. x6 - 27y3

A: Given, The polynomial x6-27y3.

Q: Factor the polynomial. x4 - 4x2

A: Given that : The polynomial is x4 - 4x2 .

Q: When factoring a polynomial of the form x2 − bx − c, pick an appropriate combination of signs. ( +…

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Q: 5) y=-x(x²-4), Y A B C 4( C( ) B( ) )

A: we have to find the behaviour

Q: Factorise the equation completely (x+3y)^3-(x+3y)

A: We have to factorise

Q: Factor the polynomial completely. x-13x2 + 36 F (x+3)(x 3)(x + 2)(x - 2) G (x- 3)(x- 2)2 H (x2…

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Q: Factor the polynomial x* + 10x² + 16. Your answer can be written as (x² + A) (x² + B) where A < B…

A: Given: A polynomial x4+10x2+16

Q: f(x) 3 x* +3x 4.

A: Given: f(x)=x4+3x2-4

Q: Factor the polynomial. 8x2 - 53x - 21

A: Given: 8x2−53x−21

Q: Factor the polynomial completely. (If the expression is not factorable using integers, enter PRIME.)…

A: Expression is not factorable. It is a equation of parabola which is not cut the x axis.

Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A: Given Equation is : 3x³ - 2x² - 65x + 100 = 0

Q: Factor the polynomial completely. Q(x) = x4 + 32x2 + 256

A:

Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

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Q: Factor the polynomial:  x4n+1-xy4n

A: Given,

Q: Factor the polynomial. x3 - 25x

A: We have to factorize the polynomial: x3-25x Taking x common from both terms, we get…

Q: Factor completely, or state that the polynomial is prime : x2 + 18x + 81 - y2

A: Given information: The polynomial is x2+18x+81-y2. Calculation: First group the first three terms…

Q: Factor the polynomial. 4x3 + 4x2 + x

A: We have to factor the polynomial: 4x3+4x2+x

Q: f(x) = 2x3+x2-7x-6Use the Rational Zero Test to factor the polynomial completely. Show the work and…

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Q: Fill in the blanks to factor the perfect-square trinomial. (a)    x2 + 8x + 16 = (x + BLANK)^2 (b)…

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Q: Factor out the greatest common factor from the terms of the polynomial 6x3 – 12x2 + 18x. A x2(6x –…

A: Factor out of the greatest common factor from the term of the polynomial 6x3-12x2+18x.   Here i…

Q: Factor the polynomial completely. (If the expression is not factorable using integers, enter PRIME.)…

A: consider the equation is, 18y2 − 7y − 1. Split the middle term as, 18y2-9y+2y-19y2-1+12y-19y+12y-1

Q: Factor out a negative real number from the polynomial and then write the polynomial factor in…

A: GCF of -4x^2-8x+20 is -4.

Q: the quotient and the remainder by using synthetic division.

A: In this question we will use basic of algebra i.e concept of division of polynomials. We will simply…

Q: Factor the polynomial completely. P(x) = 625x4 − 25

A:

Q: Factor the polynomial. x2 - 4y2- 6x + 9

A: x2-4y2-6x+9

Q: Factor the polynomial by factoring out the opposite of the GCF. −6x4y3 + 4x3y2 − 12x2y

A: Given,          −6x4y3+4x3y2−12x2y

Q: Factor polynomial X2+7x+14

A:

Q: Factor the polynomial if it is a perfect square​ trinomial, or state that the polynomial is prime.…

A: (x+8y)^2 = x^2 +16xy+64y^2

Q: y³ +2y° -9y-18

A: Given: y3+2y2-9y-18=y3+2y2-9y-18=y2y+2-9y+2=y2-9y+2  =y2-32y+2=y+3y-3y+2   a2-b2=a+ba-bFactors are…

Polynomials

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