Question

Factorise:
1. 4x2 + 5x +1​

Answer 1

✯✯ QUESTION ✯✯

Factorise : -

4x²+5x+1

━━━━━━━━━━━━━━━━━━━━

✰✰ ANSWER ✰✰

$\implies\tt{{4x}^{2}+5x+1=0}$

➮By Splitting Middle Term : -

$\implies\tt{{4x}^{2}+(4x+1x)+1=0}$

$\implies\tt{{4x}^{2}+4x+1x+1=0}$

$\implies\tt{4x(x+1)+1(x+1)=0}$

$\implies\tt{(4x+1)(x+1)}$

➥Now ,

$\implies\tt\bold{4x+1=0}$

$\implies\tt{4x=-1}$

$\implies\tt{\large{\boxed{\bold{\bold{\purple{\sf{x=\dfrac{-1}{4}}}}}}}}$

$\implies\tt\bold{x+1=0}$

$\implies\tt{\large{\boxed{\bold{\bold{\orange{\sf{x=-1}}}}}}}$