Question

Why are 1/4 and –1 zeros of the polynomials p(x) = 4x² + 3x – 1?

Answer 1

Dear Student

$4x^{2} +3x-1$

$4x^{2} +4x-x-1$

$4x^{2} +4x-x-1$

$4x(x+1)-1(x+1)$

$(4x-1)(x+1)$

So, x=1/4 and x=-1 are roots of the equation.

Hence,1/4 and -1 are zeros of the polynomials.

Hope it helps

Thanks

With regards

Answer 2

Solution :

************************
A real number k is said

to be a zero of a
polynomial p(x) , if p(k)=0

**************************

Here ,

p(x) = 4x² + 3x - 1

i ) p(1/4) = 4(1/4)²+3×1/4-1

= 4×1/16 + 3/4 - 1

= 1/4 + 3/4 - 1

= ( 1 + 3 - 4 )/4

= 0

ii ) p(-1) = 4(-1)²+ 3(-1) - 1

= 4 - 3 - 1

= 0
Therefore ,

1/4, -1 are zeroes of

polynomial p(x)

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