Question

.Form a quadratic polynomial, the sum and product of whose zeroes are -3

and 4​

Answer 1

Answer:

sum of the zeroes = -3

product of the zeroes = 4

formation of a quadratic polynomial = x²  - (α + β)x + αβ

x² - (-3)x + 4

x² + 3x + 4

Answer 2

★ Answer

Sum of zeroes (α + β) = -3

Product of zeroes (αβ) = 4

Now, We know that

Quadratic Polynomial = x² - (Sum)x + Product

So, we get

→ Quadratic polynomial = x² - (-3)x + 4

→ Quadratic polynomial = x² - (-3x) + 4

→ Quadratic polynomial = x² + 3x + 4

$\rule{200}{2}$

★ Verification :

Sum of zeroes = -b/a = -3/1 = -3

Product of zeroes = c/a = 4/1 = 2

Hence verified