Question

Construct a quadratic polynomial whose zeroes are negatives of the zeroes of the
polynomial

x^2 − x − 12.

Answer 1

Answer:

X²+x-12

Step-by-step explanation:

Zeroes of x²-x-12

= x²-4x+3x-12

X(x-4)+3(x-4)

(x+3)(x-4)

Roots are - 3 and 4

Negative roots of these are 3 and - 4

So

(x-3)(x+4)

= x²-3x+4x-12

X²+x-12