factor the expression 6x^2 + 5x + 1

Accepted Solution

Answer:The factors are (3x+1)(2x+1)Step-by-step explanation:The expression is:6x^2 + 5x + 1We have to break the middle term to find its factors. For this first we have to multiply the coefficient of 1st terms with the constant term:6*1 = 6Now we have to find any two numbers whose product is 6 and whose sum is the middle term:3*2=63+2=5Now break the middle term by these two numbers.6x^2 + 5x + 16x^2+3x+2x+1Group the first two terms and last two terms:(6x^2+3x)+(2x+1)Now take out common factor from each term:3x(2x+1)+1(2x+1)(3x+1)(2x+1)Therefore the factors are (3x+1)(2x+1)....