(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.

Expert Solution

milcah answered 2 years ago

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

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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...

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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!

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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

use Java The two roots of a quadratic equation ax^2 + bx + c = 0...

use Java The two roots of a quadratic equation ax^2 + bx + c = 0 can be obtained using the following formula: r1 = (-b + sqrt(b^2 - 4ac)) / (2a) and r2 = (-b - sqrt(b^2 - 4ac)) / (2a) b^2 - 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no...

FOR JAVA Define a class QuadraticExpression that represents the quadratic expression ax^2 + bx + c:...

FOR JAVA Define a class QuadraticExpression that represents the quadratic expression ax^2 + bx + c: You should provide the following methods (1) default constructor which initalizes all the coefficients to 0 (2) a constructor that takes three parameters public QuadraticExpression(double a, double b, double c) (3) a toString() method that returns the expression as a string. (4) evaluate method that returns the value of the expression at x public double evaluate(double x) (5) set method of a, b, c...

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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 +...

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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