Answer: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : x-(3*x^3+8*x^2+5*x-7)=0 Step by step solution :Step 1 :Equation at the end of step 1 : x-((((3•(x3))+23x2)+5x)-7) = 0 Step 2 :Equation at the end of step 2 : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step 3 :Step 4 :Pulling out like terms : 4.1 Pull out like factors : -3x3 - 8x2 - 4x + 7 = -1 • (3x3 + 8x2 + 4x - 7) Checking for a perfect cube : 4.2 3x3 + 8x2 + 4x - 7 is not a perfect cube Trying to factor by pulling out : 4.3 Factoring: 3x3 + 8x2 + 4x - 7 Thoughtfully split the expression at hand into groups, each group having two terms : Group 1: 3x3 - 7 Group 2: 8x2 + 4x Pull out from each group separately : Group 1: (3x3 - 7) • (1) Group 2: (2x + 1) • (4x)
