SOLUTION: Find the value of the constants A, B, C and D in the following identity: {{{ x^3-6x^2+11x+x=(x-2)(Ax^2+Bx+C)+ D }}}.

SOLUTION: Find the value of the constants A, B, C and D in the following identity: {{{ x^3-6x^2+11x+x=(x-2)(Ax^2+Bx+C)+ D }}}.

Algebra.Com

Question 387819: Find the value of the constants A, B, C and D in the following identity:
.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Compare terms,

Then,

Then,

Then,

RELATED QUESTIONS
IF (x-5)(x^2-6x+4) = Ax^3 + Bx^2 + Cx + D, find the value of... (answered by Edwin McCravy)

Given the identity Ax^3+x^2-2x-3=(3x+B)(x-1)(x+2)+C(x-1)+D , find the values of the... (answered by MathTherapy)

Find the sum of a, b, c, and d if (x^3 - 2x^2 + 3x + 5)/(x + 2) = ax^2 + bx + c +... (answered by josgarithmetic,timofer)

If (x-2)(x+2)=ax^2 + bx + c, what is the aim of a,b and c? A)-4 B)-3 C)0... (answered by josgarithmetic,ikleyn)

Suppose that A, B, C, and D are constants and f is the cubic polynomial... (answered by Fombitz)

The graph of the equation y =ax^2 + bx + c, where a, b, and c are constants, is a... (answered by richard1234)

The graph of the equation $y =ax^2 + bx + c$, where $a$, $b$, and $c$ are constants, is (answered by jim_thompson5910)

Write the equation in standard form y = ax^2 + bx + c if the roots are -4 and -2 and it... (answered by josgarithmetic,MathLover1)

Toni is solving this equation by completing the square. ax^2 + bx + c = 0 (where a is... (answered by nerdybill,rothauserc,Theo)