Question

A football is thrown from the stadium. The height of this football can be represented by the polynomial -16t2 +32t + 20, where t is the time in seconds. Find the factored form of the polynomial.

A) 4(2t+5)(2t-1)
B) 4(2t-5)(2t+1)
C) -4(2t-5)(2t+1)
D) -4(2t+5)(2t-1)​

Answer 1

C

Explanation:

related equation

-16t^2 + 32t + 20 = 0

-4t^2 + 8t + 5 = 0

Δ/4 = 16 + 20 = 36

t1 = (-4 + 6)/-4 = -1/2

t2 = (-4 - 6)/-4 = 5/2

-16(t+1/2)(t-5/2)

-16(2t+1/2)(2t-5/2)

-4(2t+1)(2t-5)