Question

Find the zeros of the polynomial by factorization and verify the relationship between the zeros and the coefficients of the polynomial 4x^2-3x-1

Answer 1

Answer:

pata nahi yaar google pe dekh le

Step-by-step explanation:

Answer 2

Answer:

The zeroes are 1 and -1/4.

Step-by-step explanation:

Compute the zeroes of the equation as follows:

$4x^{2}-3x-1=0\\4x^{2}-4x+x-1=0\\4x(x-1)+1(x-1)=0\\(x-1)(4x+1)=0$

If (x - 1) = 0, the value of x is 1.

If (4x + 1) = 0, the value of x is -1/4.

The relation between the roots and coefficient are:

$\alpha +\beta =-\frac{b}{a}\\\alpha \times \beta =\frac{c}{a}$

Here

a = 4

b = -3

c = -1

Check:

$\alpha +\beta =-\frac{b}{a}\Rightarrow 1-\frac{1}{4}=-\frac{-3}{4} \Rightarrow \frac{3}{4}=\frac{3}{4}\\\alpha \times \beta =\frac{c}{a}\Rightarrow 1\times -\frac{1}{4}=\frac{-1}{4} \Rightarrow \frac{-1}{4}=\frac{-1}{4}$