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# Rationalization And Factorization Quiz

Document Type:Coursework

Subject Area:Algebra

Document 1

a6b-7)/ (12a-2b-3) Solution Since both denominator and numerator consist of numbers with same exponents, we subtract the exponents 1/3a8b-4 We need to write the final answer in positive exponents only = a8/3b4 Quiz 2 Multiply and simplify the expression by combining like terms. x)(4+8x-2x2) Solution We first open the bracket by multiplying the terms in first bracket with terms in second bracket 6(4+8x-2x2) +x(4+8x-2x2) 24+48x-12x2+4x+8x2-2x3 Collect the like terms 24+52x-4x2-2x3 Quiz 3 Factor the following. x2+5x+24 Solution We find the two factors whereby if we multiply we get -864 and if we add we get +5 Sum=5 Product=-864 Factors= (32,-27) Therefore -36x2+32x-27x+24 Simplify this equation -4x (9x-8)-3(9x-8) Since the terms in first bracket is the same as terms in second bracket, we pick one Therefore the final factors are; (-4x-3)(9x-8) Quiz 4 Solve the following for x.