State how many complex and how many real zeros the function has. f(x) = x² + 6x² - 4x² + 72x-192

Q: If two of the factors for the function f (x) = x4 - 5x3 - 3x2 + 13x + 10 are (x - 5) and (x - 2),…

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Q: Let f(x) = 4x - 9. Simplify each of the following expressions. f(a)= 4a - 9 f(a+h) = 4a +4h-9…

A: Given query is to perform indicated operation on th function.

Q: 1. Write a polynomial function that has these zeros: 0, -2, 6i.

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Q: What is the formula for a cubic polynomial function having x-intercepts at 1, 5, 7.

A: We have to find the formula for a cubic polynomial function having x-intercepts at 1, 5, 7.Since

Q: Find the equation of a 4th degree polynomial that has zeros at x=-7x=−7,  x=2x=2,  x=3x=3  and…

A: Given that, Polynomial has zeros at x = -7, x = 2, x = 3, x = 4 and we have to find the polynomial…

Q: Determine the different possibilities for the numbers of positive, negative, and nonreal complex…

A: Given is  f(x) =5x^5 -2x^4 -4x^3 +2x^2-9x-4

Q: Use the constant multiple rule to rewrite the terms. d10x-1/3) (6cos x) xp COS X

A: Constant multiplication rule: if a is constant then ddxa·f=a·dfdx

Q: Differentiate the function √√7e³x - 1 2x² + 1

A: (u/v)' = (v.u'-uv')/v2 (u+v)'= u'+v'  (u.v)' = uv'+u'v

Q: (x)=x^2+2x-8, and 3x-6 Preform the indicated operation. (Simplify as far as possible.) (f

A: We know if f and g are continuous function then we can write (f+g)(x)=f(x)+g(x) Here f(x)=2x+8…

Q: For what value of m will the polynomial f (x)=x3+2x2+mx+5 have the same remainder when it is divided…

A: The remainder theorem states that: if a polynomial, p(x) is divided by x-b, then the remainder is…