A factor of a polynomial P(x) is x - c. Which must be true of P(x) ? A P(c) = 0 BP(-c) = 0 CP(0) = c D P(0) c -с

Q: A quadratic polynomial y = 4x2 +7x -3 has roots p and q. Find a quadratic g(x) = x² + ax +B with…

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Q: = Evaluate the polynomial equation f(X)= 2x3 -6x²+2x-1 at a given point x=3 by Horner's rule, the…

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x + ax + Bwith…

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Q: Using Newton's Divided Difference, the polynomial that interpolates x + sinx at the points x, =1,x2…

A: Firstly make the divided difference table x P(x) Pxi , xj Pxi , xj , xk Pxi , xj , xk , xl Pxi ,…

Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: A section of the graph of a polynomial function with integral coefficients is shown. Which of the…

A: A function curve in graph, where it cuts x axis is a root  of the function.From the given graph the…

Q: The polynomial function f(x) = ax° + bx² + cx + d is a polynomial, where a, b, c, and d are real…

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Q: A factor of a polynomial P(x) is x - c. Which must be true of P(x)? A P(c) = 0 BP(-) = 0 C_P(0) = c…

A: Given (x-c) is factor of P(x). Therefore P(x)=(x-c)q(x)          where q(x) is any polynomial.

Q: A basic fact of algebra states that c is a root of a polynomial f if and only if f(x) = (x -…

A: (a) x 5 + 2x 4 - 4x 3 - 8x2 - x + 2  To find whether c=-1 is a multiple root we have to subs. c=-1…

Q: The polynomialf(x) = x² + 4x – 2x3 – 1 is a. Nested form b. Linear C. Cubic d. Quadratic

A: The degree of a polynomial is same as the highest power of the variable present in the polynomial.…

Q: Data for x and y below are taken from one polynomial function with degree of n: 1 3 -10-4 -21 -2 4 f…

A: I am solving this in step 2

Q: Using Newton's Divided Difference, the polynomial that interpolates x + sinx at the points x, = 1,x2…

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Q: Show that f (x) = x2 + 3x−1 and g(x) = 3x3 − 9x + x−2 are rational functions—that is, quotients of…

A: To show: That the functions are rational function: Given: The functions are fx=x2+3x-1 and…

Q: Find a polynomial function f(x) with real coefficients that has the given zeros. (There are many…

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x2 + ax + B with…

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Q: Find an nth degree polynomial. What is f(x)? n=3 4 and 4i are the zeros F(-1)=-255 F(x)=

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Q: Determine all polynomials p(x) such that (x - 1)p(x +1)= (x+2) p(x) and p(2) = 12.

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Q: > For y, polynomial x = y₁ 1 D²-2 [x²] y, = [-1-D² +...]. [2x+3]

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Q: Let P(x) be a polynomial of degree 5 with roots 2, – 5 and (3 + i). Write P(x) as a product of…

A: It is given that the roots of 5 degree polynomial are 2,-5,3+i

Q: The function f(x) = x³ + 5x²-√x + 1 is a polynomial of degree 3.

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Q: Consider the polynomial equation of P(x) = 0 where P(x) = x* – x3 – 2² – r – 2. (h) Find all zeros…

A: We will find the zeros of polynomial as shown below