Algebra

Polynomial Factoring

Factoring Polynomials by Grouping

         

Find the sum of all real solutions of the equation x3+x2+x=8x2+8x+8.x^3+x^2 + x=8x^2+8 x + 8.

The polynomial in two variables

f(x,y)=xy+3y4x12 f(x,y) = xy + 3y - 4x -12

can be expressed as the product of two linear factors with integer coefficients, namely

f(x,y)=(ax+by+c)(dx+ey+f). f(x,y) = (ax + by + c) ( dx + ey + f).

Evaluate a+b+c+d+e+f |a+b+c| + |d+e+f| .

If a,b,ca, b, c and dd are positive numbers and 5x345xy2+4x236y2=(ax+b)(x+cy)(xdy),5x^3-45xy^2+4x^2-36y^2=(ax+b)(x+cy)(x-dy), what is the value of a+b+c+da+b+c+d?

If a,b,c,a, b, c, and dd are positive numbers such that (x25x)218x2+90x144=(xa)(xb)(xc)(x+d),\begin{aligned} & (x^2-5x)^2-18x^2+90x-144 \\ &= (x-a)(x-b)(x-c)(x+d), \end{aligned} what is the value of a+b+c+da+b+c+d?

If aa and bb are positive numbers such that x3+5x2y9x45y=(x+a)(xb)(x+cy),x^3+5x^2y-9x-45y=(x+a)(x-b)(x+cy), what is the value of a+b+ca+b+c?

×

Problem Loading...

Note Loading...

Set Loading...