Question

factorisation of quadratic trimonials: xiv) -5x^2-x+4​

Answer 1

$\text{The given polynomial is }-5x^{2} - x + 4 = 0$

$\text{Multiplying both sides with }(-1)$

$\implies 5x^{2} + x - 4 = 0$

$\text{We can solve this using the `splitting middle term' method}$

$\implies \text{We can write the middle term }x \text{ as }(5x - 4x)$

$\text{The equation then becomes}$

$\implies 5x^{2} + 5x - 4x - 4 = 0$

$\implies 5x(x + 1) -1(x + 1) = 0$

$\implies \boxed{(x+1)(5x-1) = 0}$