Question

2. A quadratic polynomial, whose zeroes are -3 and -4, is O
(a) x2 + 7x + 12 O
(b) x2 + x + 12 O
(C)) x2-2X-6 O
(d) 2x2 + 2x - 24​

Answer 1

Answer:

book

Step-by-step explanation:

To form a quadratic polynomial equation, we use the formula:

x2 - (sum of zeroes)x + product of zeroes = 0

x2 - (α + β)x + α.β = 0

α + β = -3 + 4 = 1

α.β = -3 x 4 = -12

x2 - (1)x + (-12) = 0

x2 - x - 12 = 0

Alternatively,

The zeroes are -3 and 4.

Thus, x = -3 and x = 4

x + 3 = 0 and x - 4 = 0

(x + 3)(x - 4) = 0

expanding the brackets,

x2 - 4x + 3x - 12 = 0

x2 - x - 12 = 0

None of the above options matches the answer

Ans d