(x-1) is a factor of P(x) = x^3 - ax^2 + bx -10. When P(x) is...

(x-1) is a factor of P(x) = x^3 - ax^2 + bx -10. When P(x) is divided by (x+4) there is a remainder of 10. Determine the values of a and b.

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milcah answered 3 years ago

1. Consider the cubic function f ( x ) = ax^3 + bx^2 + cx +...

1. Consider the cubic function f ( x ) = ax^3 + bx^2 + cx + d where a ≠ 0. Show that f can have zero, one, or two critical numbers and give an example of each case. 2. Use Rolle's Theorem to prove that if f ′ ( x ) = 0 for all xin an interval ( a , b ), then f is constant on ( a , b ). 3.True or False. The product of...

A cubic polynomial is of the form: f(x) = Ax^3 + Bx^2 + Cx + D...

A cubic polynomial is of the form: f(x) = Ax^3 + Bx^2 + Cx + D A root of the polynomial is a value, x, such that f(x)=0. Write a program that takes in the coefficients of a cubic polynomial: A, B, C, and D. The program finds and reports all three roots of the polynomial. Hint: First use bisection method to determine a single root of the polynomial. Then divide the polynomial by its factor to come up...

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- Using standard polynomIAL ADDITION ,what polynomial ax^2+bx+c can...

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- Using standard polynomIAL ADDITION ,what polynomial ax^2+bx+c can be expressed as linear combination of p1(x),p2(x),p3(X),p4(x) b- a polynomial is equal to zero if and only if all it's coefficient to zero . solve for a1,a2,a3,a4 by expanding ,written as polynomial in x,and setting each coefficient equal to zero: a1p1(x)+a2p2+a3p3(x)+a4p4(x)=0

Find the cubic equation: f(x) = ax^3+bx^2+cx+d for which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7. Find the...

Find the cubic equation: f(x) = ax^3+bx^2+cx+d for which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7. Find the value of a, b, c, and d

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d...

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 points P and Q. These points are also two points of tangency for the two tangent lines drawn from point A(2,9) upon the parobala. The graph of the cubic function has a y-intercept at (0,-1) and an x intercept at (-4,0). What is the standard equation of the tangent line AP.

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d...

The curves of the quadratic and cubic functions are f(x)=2x-x^2 and g(x)= ax^3 +bx^2+cx+d. where a,b,c,d ER, intersect at 2 points P and Q. These points are also two points of tangency for the two tangent lines drawn from point A(2,9) upon the parobala. The graph of the cubic function has a y-intercept at (0,-1) and an x intercept at (-4,0). What is the value of the coefficient "b" in the equation of the given cubic function.

(10) public double smallerRoot() throws Exception Depending on the equation ax^2 + bx + c =...

(10) public double smallerRoot() throws Exception Depending on the equation ax^2 + bx + c = 0: if no roots, throw exception if single root, return it if two roots, return the smaller root if infinite root, return -Double.MAX_VALUE (11) public double largerRoot() throws Exception if no roots, throw exception if single root, return it if two roots, return the larger root if infinite root, return Double.MAX_VALUE (12) equals method This should OVERRIDE equals method from Object class return true...

Given a general cubic function y = ax^3 + bx^2 + cx + d prove the...

Given a general cubic function y = ax^3 + bx^2 + cx + d prove the following, a) That a cubic must change at a quadratic rate. I believe this to be the derivative of the general cubic function, yielding dy/dx = 3ax^2 + 3bx + c b) That there are only 6 basic forms (shapes) for a cubic. This question is where I get lost. Please help, Thanks!

Find the cubic equation. F(x)=ax^3+bx^2+cx+d F(-1)=3 F(1)=1 F(2)=6 F(3)=7 What is the value of a,b,c,d

1. Solve quadratic equation Ax^2+Bx+C=0 using the quadratic formula x = (-B+ and - sqrt(B^2-4ac)) /...

1. Solve quadratic equation Ax^2+Bx+C=0 using the quadratic formula x = (-B+ and - sqrt(B^2-4ac)) / 2a) and output the two solution with clear explanation could you please do it in MATLAB

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(x-1) is a factor of P(x) = x^3 - ax^2 + bx -10. When P(x) is...

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1. Consider the cubic function f ( x ) = ax^3 + bx^2 + cx +...

A cubic polynomial is of the form: f(x) = Ax^3 + Bx^2 + Cx + D...

let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- Using standard polynomIAL ADDITION ,what polynomial ax^2+bx+c can...

Find the cubic equation: f(x) = ax^3+bx^2+cx+d for which f(-1)=3, f(1)=1, f(2)=6, and f(3)=7. Find the...

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