Question

factorise the following quadratic polynomial f(x)=5x-4√3+2√3x²​

Answer 1

Step-by-step explanation:

f(x)=4

3

​

x

2

+5x−2

3

​

.

To find the zeros of the quadratic polynomial, put f(x)=0.

4

3

​

x

2

+5x−2

3

​

=0

4x(

3

​

x+2)−

3

​

(

3

​

x+2)=0

(4x−

3

​

)(

3

​

x+2)=0

either (

3

​

x+2)=0 or (4x−

3

​

)=0

x=−

3

​

2

​

 or x=

4

3

​

​