Question

please answer this with step by step explanation I will definitely make you as a brain list, FACTORISATION METHOD
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Answer 1

Answer:

Zeroes = 1/2, -4

x = 1/2 , -4

Step-by-step explanation:

Given,

p(x) = 2x^2 + 7x - 4

By using splitting the middle term, we get,

2x^2 + 8x - x - 4 = 0

=> 2x(x + 4) - 1(x + 4) = 0

=> (2x - 1)(x + 4) = 0

From above equation, we can clearly notice that either (2x - 1) or (x + 4) = 0

So, for the values of x,

CASE I :

=> (2x - 1) = 0

=> 2x = 1

=> x = 1/2 ..... (i)

CASE II :

=> (x + 4) = 0

=> x = -4 .... (ii)

From equation (i) and (ii), we get,

x = 1/2 , -4