Question

Determine the zeroes of the polynomial

2x^2 − 3x − 2. Also verify the relationship

Answer 1

Let the zeroes of the polynomial 2x²—3x—2 be α and β.

→ 2x² - 3x - 2

→ 2x² - (4-1)x - 2

→ 2x² - 4x + x - 2

→ 2x(x-2) + 1(x - 2)

→ 2x+1 = 0, x-2 = 0

→ x = -1/2, 2

→ α = -½ , β = 2

As We know the relation between zeroes of the polynomials.

→ α + β = -b/a

→ -½ + 2 = -(-3)/2

→ -1+4/2 = 3/2

→ 3/2 = 3/2

→ αβ = c/a

→ -½ × 2 = -2/2

→ -2/2 = -1

→ -1 = -1

Hence,

All the relationship are verified at all.