Question

Solve the quardatic polynomial 3x^2+5x-2 by splitting the middle term ? ​

Answer 1

Answer:

x = 1/3, -2

Step-by-step explanation:

Follow to image for soultion

Do not split the term in 2 and 3 as product will become positive which should be (-)

Answer 2

Hi,

Here is your answer

Given:

p(x)=3x²+5x-2

To Find:

The zeros of the polynomial by splitting the middle term

Solution:

3x²+5x-2=0

3x²+6x-x-2=0

3x(x+2)-1(x+2)=0

(x+2)(3x-1)=0

Hence either

x+2=0

x= -2

OR

3x-1=0

x=1/3

Therefore the zeros of x are -2 and 1/3

Notes:

The zeros of the polynomial can be found out by 3 methods

• Factorisation method
• Splitting the middle term
• Competing the square

Hope this helps you.