Question

why are 1 by 4 ,minus 1 are zeroes of the polynomial px = 4x + 3x minus 1​

Answer 1

Answer:α and β are the zeroes of 4x² + 4x +1 

a = 4 

b  =4 

c = 1

sum of zeroes = -b/a

α + β = -b/a

α+ β = -4 /4 

α + β = -1 ........................(i)

product of zeroes  = c/a

αβ = c/a

αβ = 1/4 ................(ii)

zeroes of polynomial are 2α and 2β

so 

sum of zeroes = 

2α + 2 β

2(α+β)         from (i)

2(-1)

-2

product of zeroes 

(2α)(2β)

4αβ

4 (1/4)                  from (ii)

1 

polynomial = 

x ² - ( sum of zeroes )x + product of zeroes

x² - (-2)x +1

x² +2 x+1

Answer 2

Step-by-step explanation:

because when we substitute the zeroes to the given polynomial it become the value of polynomial is zero ...

HENCE 1/4, -1 ARE THE ZEROES OF THE GIVEN POLYNOMIAL....

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