the sum and product of the zeroes of quadratic polynomial 2x2+2x-24is
Answers
Answer:
192
Step-by-step explanation:
Answer:
Step-by-step explanation:
Taking 2 common
=>Factoring x2 - x - 12
The first term is, x2 its coefficient is 1 .
The middle term is, -x its coefficient is -1 .
The last term, "the constant", is -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -1 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 3
x2 - 4x + 3x - 12
= x(x-4) +3 (x-4)
= (x+3)(x-4)
The zeroes are -3 and 4
sum of zeroes= alpha + beta
= 4-3
= 1
The product= alpha x beta
= 4 x -3
= -12