Question

factorize the following at I) x²+11x+24​

Answer 1

Step-by-step explanation:

x2+3x+8x+24

x(x+3)+8(x+3)

(x+3) (x+8)

Answer 2

${\large{\underline{\underline{\text{\red{ Given :}}}}}}$

$x^2+11x+24$

${\large{\underline{\underline{\text{\red{Solution :}}}}}}$

$\implies x^2+11x+24$

${\text{\red{Split the middle terms of the quadratic equation}}}$

$\implies x^2+3x+8x+24$

${\red{\text{Now Have the common terms of the equation out of brackets }}}$

$\implies x(x+3)+8(x+3)$

${\text{\red{Make the terms as pair of equations}}}$

$\implies (x+3)(x+8)$

${\large{\underline{\underline{\text{\red{Know More :}}}}}}$

${\text{\purple{The general term of quadratic equation}}} :-$

$ax^2+bx+c=0$.

${\underline{\text{Roots of Equation :}}}$

${\text{Sometimes the quadratic equations contains roots}}$

Example :

$In\: (x+3) \:\:x+3=0 \implies x=-3$

$In\:\:(x+8) \:\: x+8=0 \implies x=-8$

$\text{Hence} -3,-8 {\text{Are the roots of the equation}} \:\: x^2+11x+24$