Factoring of Quadratic Polynomials by Splitting Middle Term : Solved Examples

Factoring Quadratic Polynomials by Splitting Middle Term

Factorize 14y2 + 19y - 3 by splitting the middle term 14y2 + 19y - 3 Now, we have to find 2 numbers whose sum is 19 (middle term) and when multiplied (first and last term) i.e. 14 X (-3) = -42 So these two numbers are - 21 - 2 = 19 21 X (-2) = -42 Now we put both 21 and (-2) numbers in the middle term of 19y and we get ∴ 14y2 + 19y - 3 = 14y2 + 21y - 2y - 3 or 7y(2y + 3) -1(2y - 3) or (7y - 1) (2y + 3) Related Question Examples Factorize 14y2 + 19y - 3 by splitting the middle term Factorize 24y2 -65y + 21 by splitting the middle term Factorize 5z2 - 16z - 21 by splitting the middle term