Given f (x) = a+ 2a-6a + 45 and r-5, write the factored form of the function and solutions Factored form:

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: Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.…

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Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

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Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: For max no. of mosquitos, function m(x) should be maximum i.e M(x)= 10x – x2 -i) Differentiate m(x)…

Q: Solve for x using the Zero Product Property. b. 0 = 6x2 – 23x + 20

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Q: Q1\ Find the solutions of the equation:- x2 + 4x + 7 = 0

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Q: Find all real solutions for the polynomial equation  -3x^3+ 7x^2- 2x- 2= 0

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

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Q: F(x)=2x4+3x3+6x2+12x-8 solve and look for all zeros

A: Given:

Q: Find all real solutions of the equation. x4 - x3 - 6x2 = 0

A: Given equation,  x4 - x3 - 6x2 = 0 To find all the real solutions.

Q: Use the discriminant to determine the number and types of solutions of the quadratic equation. x2 -…

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Q: Find all real solutions of the equation. x3 - 2x2 - 5x + 10 = 0

A: x3-2x2-5x+10=0

Q: Find all real solutions of the equation.

A: Given: 8x-1=3

Q: () x* - 8x2 + 7 = 0

A: By hit and trial method we see that x is equal to 1 and X is equal to -1 is a root of the given…

Q: Solve the polynomial equation : x4 - x3 - 11x2 = x + 12

A: Using Synthetic division fx=x4-x3-11x2-x-12 fx=1x4-1x3-11x2-1x-12 Here x-4 is a root and dividend…

Q: Use factoring to solve the polynomial equation: (x-1)(x+3)=12

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Q: snip

A: fx=x3-4x2-5

Q: Find all real solutions of the equation. x2 - 3x - 18 = 0

A: the given equation is: x2-3x-18=0 we have to find all real solutions of the given equation.

Q: Find the real solutions of the given equationt 3x³+8x = 2 – 3x

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Q: Find all real solutions.   2x2 + 4x +1 = 0

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Q: Solve the equation using the method of your choic x2 + 2x = 6

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: -3x2+4x+5=2x Determine if x=-1 is the solution to this equation?

A: Calculation:The given equation is –x2+4x+5 = 2x.Substitute the value x = –1 in the above equation…

Q: Find all real solutions of the equation. 2x3 + x2 - 18x - 9 = 0

A: 2x3 + x2 - 18x - 9 = 0

Q: Find x-intercept, by factoring the functionn y=2x^4-4x^3-30x^2

A: factor method to find x-intercept

Q: Use the method of undetermined coefficients to find a particular solution x" + 8x' + 9x = t³ Xp²

A: Given differential equation is x''+8x'+9x=t3 Let us consider xpt=At3+Bt2+Ct+D be the solution of the…

Q: Find the real solutions of the equation by factoring. Verify your results using a graphing utility.…

A: Given equation is x3+x2-x-1=0. To find the real solutions of the equation by factoring and to verify…

Q: The degree of the polynomial function 4x3 + 2 is:

A: The degree of a polynomial is the highest exponent of all individual monomials of the given…

Q: Find the real solutions, if any exist, for 3x2-4x+2=-16.

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Q: Find all real solutions of the equation. x3 - 5x2 - 2x + 10 = 0

A: Given equation is x3-5x2-2x+10=0. To find all real solutions of the equation. Solution: Solving the…

Q: State the number of solutions for the polynomiai. f (x) = 2 -3x2 - 10c

A: We have to state the number of solutions for the polynomial f(x) = x3 - 3x2 - 10x

Q: Find all real solutions of the equation. x2 + 8x - 20 = 0

A: To solve the equation:x2+8x-20=0 Solution: x2+8x-20=0 On simplifying further we get:…

Q: A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells "x" Cans…

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Q: Find all real solutions of the equation. x2 - 9x + 14 = 0

A: Given equation: x2-9x+14=0

Q: x² (x - 1) + y² (x – 1)

A: The given polynomial is, x2×(x-1)+y2×(x-1) The GCF of a polynomial is the greatest common factor of…

Q: Solve the polynomial equation. x15x 0

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Q: Find all real solutions of the equation. x5 + 8x2 = 0

A: To find all the real solution of the equation: x5+8x2=0 Solution: Given equation is x5+8x2=0.…

Q: Find the real solutions of the equation: (√2x + 3) - (√x + 2) = 2

A: Given equation is 2x+3-x+2=2. To find the real solutions of the equation. Solution: Given equation…

Q: For the given equation, state the value of the discriminant and the number of real solutions…

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Q: Find the real value of x which satisfies the equation 2(2-2x)-2* -1-0

A: Given: 22-2x-2-x-1=0 For finding solution of given equation, we put 2-x=t and simplify it

Q: Find all real solutions of the equation by completing the square x – 10x + 20 = – 1. and x2 with xị…

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Q: Use the IVT to show that the equation: x5 + 2x3 +3x- 4 = 0 has a solution.

A: Intermediate value theorem states that if f(x) is continuous in [a, b] and and f(a)*f(b)<0, that…

Q: Find all real solutions of the equation. 2x2 + x - 3 = 0

A: Given equation: 2x2 + x - 3 = 0

Q: solve for x by completing the square x2 + 14x -3 =0

A: Move 3 to the other side

Q: Solve the polynomial equation : x3 - 3x + 2 = 0

A: It is given that,x3-3x-2=0 We have to solve the polynomial equation.

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

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Q: Given the quadratic function x²-8x+12% 3y, find the:

A: We are solving the first three subparts and for the next subpartspost the question again and…

Q: Find the solutions of x2 + 7x – 1 = 0

A: We have to find the solutions of the given quadratic equation: x2+7x-1=0 We know that if we have…