Answer:
-65
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
The remainder theorem says when you are dividing P(x) by (x-c), then the remainder is P(c).
So we need to evaluate x^2+2x-15 for x=3.
3^2+2(3)-15
9+6-15
15-15
0
So the remainder is 0.
Step-by-step explanation:
Write the prime factorization of each term:
9r⁵s = 3² × r⁵ × s
6r⁴s² = 2 × 3 × r⁴ × s²
12r²s = 2² × 3 × r² × s
The greatest common factor will have all the common factors raised to their lowest exponent.
So all three terms have 3, r, and s as factors. The lowest exponent of 3 is 1. The lowest exponent of r is 2. The lowest exponent of s is 1.
GCF = 3 × r² × s
GCF = 3r²s
Factor out the GCF:
9r⁵s + 6r⁴s² − 12r²s
3r²s (3r³ + 2r²s − 4)
Step-by-step explanation:
A. D(t) = -25t + 160
this is the correct answer because if you substitute 3 you get 85