Question

Why 1/4 and -1 are zeroes of the polynomial p( x ) = 4x² + 3x - 1 ?

Answer 1

Hey mate,
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Given,

p ( x ) = 4x^ 2 + 3x -1

Now, in order to determine whether 1/4 is the zero of the given polynomial or not we need to substitute 1/4 in place of x..i.e.

p ( 1/4 ) = 4 × (1/4)^2 + 3 × 1/4 - 1

= 1/4 + 3/4 - 1

= 4/4 -1

= 1 - 1

= 0

Since , p ( 1/4 ) = 0

Therefore , 1/4 is the zero of the given polynomial p ( x ).

Similarly ....,

p ( -1 ) = 4 ( -1 )^2 + 3 (-1) - 1

= 4 - 3 - 1

= 1 - 1

= 0

Since, p ( -1 ) = 0

Therefore, we have -1 as the zero of the given polynomial p ( x )

Hope it helps...!!

#racks

Answer 2

Step-by-step explanation:

answer refer in attachment