Given:
Values of a polynomial P(x).
To find:
The remainder when P(x) is divided by (x+5).
The remainder when P(x) is divided by (x-3).
Solution:
If a polynomial P(x) is divided by (x-a), then the remainder is P(a).
If the polynomial P(x) is divided by (x+5), then the remainder is P(-5).
Therefore, the remainder is -2 when P(x) is divided by (x+5).
If the polynomial P(x) is divided by (x-3), then the remainder is P(3).
Therefore, the remainder is 7 when P(x) is divided by (x-3).
Answer:
8y3+6y2-29y+15
Step-by-step explanation:
Expand
(
4
y
−
3
)
(
2
y
2
+
3
y
−
5
)
by multiplying each term in the first expression by each term in the second expression.
4
y
(
2
y
2
)
+
4
y
(
3
y
)
+
4
y
⋅
−
5
−
3
(
2
y
2
)
−
3
(
3
y
)
−
3
⋅
−
5
The smallest possible number could have been 455,500
Answer:
(3,0)
Step-by-step explanation:
2x + 2y = 6 divide thru by 2 and you get x + y = 3
Name x + y = 3 equation (1) and x - y = 3 equation (2)
Add equations (1) and (2)
(1) x+ y = 3
(2) <u> x - y = 3 </u>
2x = 6
x = 3
Substitute x = 3 into equation (1). So, 3 + y = 3
y = 0
