Question

x^2-3x-4=0 factorise​

Answer 1

Answer:

Step-by-step explanation:

x^2 - 3x - 4 = 0

x^2 - 4x + 1x - 4 = 0

x ( x - 4 ) + 1 ( x - 4 ) = 0

( x + 1 ) ( x - 4 ) = 0

Answer 2

Answer:

Given:

Polynomial x²-3x-4=0

To find:

 the find the zeros of the polynomial

Pre requisite Knowledge

Split the Middle  Term : in this method we split the middle term so as to factorise the polynomial.

Solving Question:

 We are given the polynomial,from it we can find the all the values for the substitution to the quadratic equation.

or

for factorisation we should know

sum of the roots = -3

product of the zeros = -4  

Solution:

sum of the roots = -3

product of the zeros = -4

$x^2-3x-4=0\\\\\implies x^2-4x+x-4\\\\\implies x(x-4)+1(x-4)=0\\\\\implies (x-4)(x+1)=0\\\\Therefore\\\\\implies x -4=0 \implies x=4 \\or\\\implies x+1=0\implies x=-1$

Therefore the roots the polynomial are 4 or -1