Question

factorise by splitting middle term
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Answer 1

Answer:

(a + 1/2)(a + 1/2)

Step-by-step explanation:

a^2 + a + 1/4

a^2 + a/2 + a/2 + 1/4

a(a + 1/2) + (1/2)(a + 1/2)

(a + 1/2)(a + 1/2)

(a + 1/2)^2

Answer 2

Answer:

the zeroes of the polynomial are -1/2 and -1/2

Step-by-step explanation:

$a^{2}+a+\frac{1}{4} =0\\or, 4a^{2}+4a+1=0\\so, 4a^{2}+2a+2a+1=0\\ 2a(2a+1)+1(2a+1)=0\\ (2a+1)(2a+1)=0\\a=-1/2 and a=-1/2$

Hey. hope this helps!