3. Write the polynomial f(x) = x − 11x³ + 40x² − 55x + 25 in the form f(x) = (x−a)Q(x) + f(a) for some polynomial Q(x) for the following values of a. (a) a=0 (b) a=1 (c) a=2 (d) a=3

Q: DETERMINE the qoutient Q(X)AND REMINDER R(X)FOR (x³ -2x² +112x+3) ÷ (x+3)

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Q: If f is a polynomial function, and x − 6 is a factor of f ( x ), what is the value of f ( 6 ) ?

A: Answer is 0 Explanation is given below..

Q: 5. Find all the zeros for: f(x) = x3 + 2x2 - 5x - 6 6. Simplify and express with only positive…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Convert this equation to standard form: f(x) = (2x + 1)(x - 5) Of(x) = 2x² - 11x-5 Of(x) = 2x² + 1x…

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Q: Use f(x) = 2x – 4 and g(x) = 5 – x² to evaluate the ex (a) (fo g)(x) -2x + 6 (b) (g o )(x)

A: To determine the solution of the expression.

Q: Let f(x) = x³-212-9. If f(3) = 0, then (x-3) is a factor of f(x). O True O False

A: factor theorem states that if f(x) be a polynomial of degree n , and (x-a) is a factor of f(x) then…

Q: What is the domain of f(x) = √(x – 5) / √x  (√ means “the square root of”)?

A: Given: f(x) = √(x - 5) / √x let's get the numerator:√(x - 5)x-5≥0x≥5let's get the denominator: √x…

Q: [2] Find ALL of the intercepts of the polynomial function and express them as POINTS.   f(x) = x4 -…

A: Finding the y intercepts To find the y-intercept of a function f(x), we can find f(0),  f(x) = x4…

Q: 2. Write the polynomial f(x) = 5x-4 in the form f(x) = (x−2)Q(x) + f(2) for some polynomial Q(x).

A:

Q: consider two polynomials P(x) =6x+1 and Q(x)=4x2-3x+2 carry out the indicated operation and simplify…

A: Explanation of the solution is given below...

Q: Given that f(x) = x² – 7x and g(x) : (a) (f + g)( – 4)=| = x + 10, find (b) (f – 9)( – 4)= (c) (fg)(…

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Q: Express the polynomial f(x) = 2x² + 3x³x²+x-2 in the form f(x)=b₁(x - 5)¹. i=0

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Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 7 - 8x + 4x² f(a):…

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Q: I+3 Find the inverse of f(x) = , (a) 2x – 3 (b) 2x +3 (c) 3x- 2 (d) 3x +2 (e) z – 32 -

A: