Question

Find a quadratic polynomial whose zeroes are -3 and 4

Answer 1

Answer:

The zeroes are -3 and 4

so α = -3 and β = 4

α+β = -3+4 = 1

αβ = (-3)*4 = -12

p(x) = x²-(α+β)x+αβ

= x²-(1)x+(-12)

= x²-x-12

(OR)

zeroes are -3 and 4

so factors are (x+3) and (x-4)

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

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

= x²-4x+3x-12

= x²-x-12