Given the function f(x)= 2x^4 -7x^3 -56x^2  +37x -84 and the fact that x=3/2 implies f(3/2)=0 factor f(x) into its linear factors. If possible, please show step-by-step.Thank you so much.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Use adding/subtracting functions to explain why the function, w(x)=x^4 + 2x^2 - 5x  would only have…

A: Use adding/subtracting functions to explain why the function, w(x)=x4 + 2x2 - 5x would only have one…

Q: Is (x+4) a factor of F(x)=2x^3+5x^2-5x+28? How do you know?

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Q: For the function f(x) = x^4 -6x^3+1, find the points of inflection.

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Q: Please create a polynomial function that has at least 3 terms, a positive leading coefficient, a…

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Q: Identify the degree of the following polynomial. 8x^(2)+\sqrt(4x^(6)), where x>=0

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Q: What is x^2+y?

A: Given expression.  x²+y

Q: determine whether  the following numbers are roots of the polynomial equation P(x) = 0, P(x) =2x^3 -…

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Q: and how do you know?

A: Function: f(x)=17x^14-3x^11-5x^10+224x^8+84x^7-3x^5+32x^4-2 Leading coefficient is 17>0 So there…

Q: Convert f(x)=(x-3)(X^2 -5x +6) into factored form

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Q: A ball is thrown upward and outward from a height of 7 feet. The height of the​ ball, f(x), in​…

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Q: Evaluate the polynomial for the give x^(2)-5x-8;x=-4

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Q: evaluate f(x)=-4x^4-4x^3-3x^2+1 to find f(-5), using synthetic division with table work. Thanks

A: Given query is to find the value of the function usinge synthetic division.

Q: find all zeros. f (x) = x^3 + 9x^2 + 25x + 25

A: We can find the Zeros of the given function. Note that if ax2+bx+c=0 then x=-b±b2-4ac2a.

Q: Is the function R(q)=1/q^2(q^2+5)^2 quadratic? If so, write the function in the form R(q)=aq^2+b⁢q+c…

A: We have to distribute (q^2+5)^2 first using (a+b)^2 formula.

Q: 1. Given the function f(x) = 2x3 + 19x² + 34x + 15 Show all work. Use synthetic OR long division to…

A: Given fx=2x3+19x2+34x+15and we have to check 2x+3 is a factor and then write fx in factor form

Q: If the revenue for a company selling widgets at price x is R(x)=-10x^2+500x. Find max revenue and…

A: The revenue for a company selling widgets at price x is R(x)=-10x^2+500x.