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
(
−
3
+
2
)
Step-by-step explanation:
Find common denominator
2
−
1
6
=
6
(
−
3
+
2
)
\frac{t}{2}-16t=6(-3t+2)
2t−16t=6(−3t+2)
2
+
2
(
−
1
6
)
2
=
6
(
−
3
+
2
)
Y=-5x+1
Slope intercept form is y=mx+b
m is slope and b is the y-intercept
