Question

factories by splitting the middle term x²+6×-16​

Answer 1

$\mathsf{x^{2} + 6x - 16}$

$\mathsf{\rightarrow\: x^{2} - 2x + 8x - 16}$

$\mathsf{\rightarrow\: x( x - 2) + 8(x - 2)}$

$\mathsf{\rightarrow\: (x + 8) (x - 2)}$

$\mathsf{\rightarrow\: \red{x = 2} \:\: ; \:\: \green{x = - 8}}$

Explaination

• Multiply the coefficient of x² and the constant term

• Split the middle term into two terms such that their product is equal to the product of coefficient of x² and the constant term

• Split the middle term in two terms such that on adding them, we get the coefficient of x

Answer 2

Answer:

x^2+6x-16=0

(x-2)(x+8)=0

thanks!!✌