Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
Answer:
6/5
Step-by-step explanation:
-5×6=-30
6×5=30
the top equation is the multiplication of the numerators, and the bottom equation is the denominators. the new fraction would be (-30/30) which is equal to-1
Answer:
-3
Step-by-step explanation:
f(-2) = (-2)^2 + 10 = 14 -> (-2, 14)
f(-1) = (-1)^2 + 10 = 11 -> (-1, 11)
(11-14)/(-1-(-2)) = -3/1 = -3
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