The polynomial p(x)=2x^3-x^2-25x-12 has a known factor of (x+3). rewrite p(x) as a product of linear factors.

p(x)=?

p(x) = (x + 3) (2x + 1) (x − 4)

Step-by-step explanation:

One way to find the other factor is long division (see attached).

Another way is to multiply x + 3 by ax² + bx + c, then match the result to p(x).

(x + 3) (ax² + bx + c)

ax³ + bx² + cx + 3ax² + 3bx + 3c

ax³ + (b+3a)x² + (c+3b)x + 3c

a = 2, b = -7, c = -4

Therefore:

p(x) = (x + 3) (2x² − 7x − 4)

Factoring:

p(x) = (x + 3) (2x + 1) (x − 4)

the answer to the expression is 83

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.