Question

find the zeros of 4 x square + 5 square root 2 x minus 3 and verify the relationship between the zeros and the coefficients of the polynomial​

Answer 1

Let the polynomial be p(x).

p(x)=4x²+5√2x-3

We know that,

Every polynomial is equal to zero

→4x²+5√2x-3=0

→4x²+5√2x-√2x-3=0

→2√2x(√2x+3)-1(√2x+3)=0

→(2√2x-1)(√2x+3)=0

→x=1/2√2 and x= -3/√2

Let @ and ß be the zeros of the polynomial

→@=1/2√2 and ß= -3/√2

Now,

Sum of zeros:

@+ß

=(1/2√2)+(-3/√2)

= -5/√2

Product of zeros:

@ß

=(1/2√2)(-3/√2)

= -3/4

Answer 2

Step-by-step explanation:

I hope it will help you to understand