How could you use the factored form of the polynomial to determine the roots of the equation g4 – 18x² + 81 = 0?

Q: Factor the polynomial: x3-4x2-9x+36

A: Given,

Q: Does x=−5 solve the following polynomial equation? 6x7-151x5=8x4-75x2

A: Given, 6x7-151x5=8x4-75x2------(1) Substituting x=-5 in (1), we get 6(-5)7-151(-5)5=8(-5)4-75(-5)2

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

A:

Q: 8a3-6a2+20a +

A: We put the given polynomial is equal to 0 and solve it. See 2ndnd step.

Q: Is (x – 5) a factor of (2x – 9x² – 12x + 35) ? Justify your answer

A: Given equation is  2x3 -9x2-12x+35 Whether (x-5) s a factor or not?

Q: Factor the polynomial: x2-2x-15=0

A: Given,

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

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

Q: What is the quickest way to factor a polynomial with three terms?

A:

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

A: Given :

Q: Q1 If the cubic trinomial 3 – 9x2+ 108 can be factored to (x + 3)y², what is y in terms of x?

A: Please refer the attached image for complete solution.

Q: Given that (2x - 1) and (r + 3)are factors of the polynomial,2a + 13x2 + 17x 12, what is the third…

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Q: 2. Is the expression 4x³ – 3.6x? – V2 a polynomial? If so, what is its degree?

A: Let p(x)=4x3-3.6x2-2. The general form of a 3 degree polynomial with real coefficients is given by…

Q: A What is a in the quadratic equation 2x2 + 8x + 10 0? A. 8x' В. 2 C. 2x D. 2x

A:

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

A: For example, Take a quadratic polynomial

Q: Use synthetic division to show that 5 is a solution of x* - 4x – 9x² + 16x + 20 = 0. Then solve the…

A: To show that 5 is a solution of, x4-4x3-9x2+16x+20=0

Q: Solve the polynomial equation x3 – 4x2 + x + 6= 0

A: Firstly we can find all roots by synthetic division method . Synthetic division method can be…

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: If one zero of the polynomial (a2 + 9)x2+ 13x + 6a is reciprocal of the other, find the value of a

A:

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

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

A:

Q: Factor the polynomial completely. xy+11x-5y-55

A: We have to find the factor of polynomial: xy+11x-5y-55 Factorization is the process of taking common…

Q: Divide the polynomial 9x3 + 36x2 − 49x − 196 by x + 4, and use the result to factor the polynomial…

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Q: How do you factor a cubic polynomial?

A: Cubic polynomial :                  A polynomial of degree 3 is called cubic polynomial. Cubic…

Q: Find the roots of the polynomial equation 4-x³ – 6x2 + 14r – 12=0.

A:

Q: How would you factor x2(2x+3)5(x-4)2  to find the zeros and multiplicity?

A: The given expression is,

Q: What are the real and complex solutions of the polynomial equation? x^4–41x^2=–400

A: We have to find real and Complex solution for given polynomial equation.

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

A:

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

A: We have to factorise

Q: Where is the polynomial y =8x3+1 positive? Justify your solution.

A: Given:

Q: How do you factor and solve for x in 0 = 16x^3 - 36x^2 + 24x -4?

A:

Q: B. Solve the following problems. 1. If the area of the rectangle is given by the polynomial 2x2 - 7x…

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Q: Completely Factor the polynomial: y=2x3+3x2-11x-6

A: factorizing 2x3+3x2−11x−6 using the rational roots test. The Rational Root Theorem states that if a…

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: Is x + 5 a factor of æ + 8x? + 8x – 35? Select an answer The remainder when you divide is

A:

Q: What are the real and complex solutions of the polynomial equation aª_41a? =-400

A:

Q: Find the zeros of the polynomials equation x* + 2x3 - 13x2 - 14x + 24 = 0

A:

Q: Factor the polynomial completely. 12) xy + 11x - 5y -55 13) x2 - x - 20 14) 7x2 – 5x- 2 odetd .00…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What is the constant term of the polynomial 5xº - 4x® + 2x5 + x³ + x? D. 0 A. 5 В. 8 С. 1

A:

Q: What is the factored form of: F(x)=-2x^3+22x^3+52x

A: We have to find

Q: Solve the polynomial equation : (2x + 1)(3x - 2)3(2x - 7) = 0

A: We have to solve the given polynomial equation   (2x + 1)(3x - 2)3(2x - 7) = 0   we can…

Q: Factor the polynomial: 32y2-48y+18

A: Given,

Q: Solve the polynomial equations by factoring methods a) (4x-9)(x+ 5)(x - 5) 0 b) x4 – 14x³ + 45x? = 0…

A:

Q: What are the real or imaginary solutions of the polynomial equation?   x4 – 3x2 = 4

A:

Q: + 8r

A:

Q: Factor the polynomial. y2 - x2 + 8y + 16

A: we have the polynomial y2-x2+8y+16=0

Q: EXPLAIN how to: (a) factor the polynomial f(r) = +x² – 4r – 4

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: solve this polynomial equation by using factoring: 18x2-5=9x

A: Consider the polynomial equation. Simplify the equation. Subtract 9x from both side,