Question

show that 1 by 2 and minus 3 by 2 are the zero of the polynomial 4 x square + 4 x minus 3 and verify the relationship between the zero and the coefficient of the polynomial

Answer 1

The solution of both the parts is...

Answer 2

Hello there!!✋
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Here's the solution:
• 4x^2 + 4x -3
= 4x^2 + 6x -2x -3
= 2x(2x+3) -1(2x+3)
= (2x-1) (2x+3)

➡ 2x-1=0
2x= 1
x= 1/2 .

➡ 2x+3=0
2x= -3
x= -3/2
•Hence, two zeros are: 1/2 & -3/2
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Now, relationship b/w zeroes:
➡ alpha+beta = -b/a
-4/4 = -1.
➡ alpha × beta= c/a
= 3/4.
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Hope you found it useful.☺☺