Question

3.) Find the zeroes of the polynomial 2 x ² + 7x-4 and verify the relationship
between the
zeroes and the coefficients of the polynomial.
​

Answer 1

Answer:

2X2 +7X-4=0 GIVE BRAINLIST TU ME

Step-by-step explanation:

Answer 2

Answer:

p(x) = 2x²+7x-4

= 2x²+8x-x-4

= 2x(x+4)-1(x+4)

= (2x-1)(x+4)

2x-1 = 0

2x = 1

x = 1/2

x+4 = 0

x = -4

the zeroes of p(x) are 1/2 and -4

Let α = 1/2 ; β = -4

a= 2 ; b = 7 ; c = -4

Verification -

α+β = -b/a

(1/2)+(-4) = -7/2

1-8/2 = -7/2

-7/2 = -7/2

αβ = c/a

(1/2)(-4) = -4/2

-2 = -2

Hence, verified...... ☺