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Find the value of f(- 2) of the function f(x) = 2x^3 3x^2 + x 1 by using synthetic division and then check the answer by substitution.Find a polynomial of the form f(x) = ax3 + bx2 + cx + d such that f(0) = 3, f(-2) = -7, f(4)...
Step by step video & image solution for Find the value of a if (x-a) is a factor of the polynomial x^6-a x^5+x^4-ax^3+3x-a+2 by Maths experts to help you in doubts & scoring excellent marks in Class 9 exams.Updated on:21/07/2023Class...
Using synthetic division to find the function value of this problem: f(x)=2x4+4x3+2x2+3x+8; find f(−2). Evaluate a Function using Synthetic Division The Theory The use of synthetic division to evaluate a polynomial function fo...
Answer to: Find the quadratic polynomial g(x)=ax^2+bx+c which best fits the function f(x)=7x at x=0 , in the sense that g(0) = f(0) , and ...
Suppose that f'(x) = 2x for all x. a) Find f(-5) if f(0) =0. b) Find f(-5) if f(1) = - 4. c) Find f(-5) if f(-2) = 8. Find the cubic polynomial f(x) such that f(-1) = 0, f'(-1) = -2, f''(-1) = -4, and f'''(-1) = 6....
Use the remainder theorem to find the function value listed below for the polynomial function P(x) = 3x^4 + 4x^3 + 3x^2 - 2x -3 P(-3) = \rule{1cm}{0.02mm} Suppose f(x) is a polynomial of degree 4 or greater such that f(1) = 2, f(2) = 3...
Find an expression for a quartic (n=4) polynomial function f(x) satisfying the following: f(2i)=f(3i)=0, i=−1f(−1)=50. Complex Roots: The values of the variable in a polynomial equation that result in the equation being equal to ...
Polynomial Functions: A polynomial function is a linear combination of power functions having only non-negative integer exponents and real number coefficients. An example of a polynomial function is y=5x2+4x−2, which is a quadratic function as the degree is 2. Ans...
Use synthetic division and the Remainder Theorem to find the indicated function value. f(x)=x4+8x3+8x2+5x−4;f(−4)The Remainder Theorem:The Remainder Theorem is applicable in the division between polynomials if and only if the divisor...