Question

verify the relation between zeroes and coefficients of the quadratic polynomial is xpower2-4.​

Answer 1

Given :-

polynomial = x² - 4

we've to verify to relationship between the zeroes and the coefficient.

so first of all, we needa find it's zeroes.

➡ x² - 4 = 0

➡ x² = 4

➡ x = ±√4

➡ x = 2, x = -2

therefore the zeroes are 2 and -2

now,

standard form of quadratic equation = ax² + bx + c

here, a = 1, b = 0 and c = -4

sum of zeroes = -b/a

➡ 2 + (-2)

➡ 2 - 2 = 0

also, -b/a = -0/1 = 0

hence verified!

and product of zeroes = c/a

➡ 2 × -2

➡ -4

also, c/a = -4/1 = -4

hence verified!

Answer 2

Answer:-

=> x² - 4 = 0

=> x² = 4

=> x = ±√4

=> x = 2, x = -2

=> ax² + bx + c

• a = 1
• b = 0 and
• c = -4

-b/a is the sum of zeroes

=> 2 + (-2)

=> 2 - 2 = 0

c/a is the product of zeros

=> 2 × -2

=> -4

c/a = -4/1 = -4

Therefore, verified!