Question

17. Find zeros and verify relationship between zeros and the
coefficients
of quadratic polynomial t-15.​

Answer 1

Answer:

Step-by-step explanation:

Given -

p(t) = t² - 15

To Find -

Zeroes of the polynomial and verify the relationship between the zeroes and the coefficient .

Now,

→ t² - 15

→ (t)² - (√15)²

It is in the form of

a² - b² = (a + b)(a - b)

→ (t + √15)(t - √15)

Zeroes are -

→ t + √15 = 0 and t - √15 = 0

→ t = -√15 and t = √15

Verification :-

As we know that :-

α + β = -b/a

→ -√15 + √15 = -(0)/1

→ 0 = 0

LHS = RHS

And

αβ = c/a

→ -√15 × √15 = -15/1

→ -15 = -15

LHS = RHS

Hence,

Verified...