Divide (x2 + 7x + 10 ) by (x +5)
Answers
Given,
is the dividend
is the divisor
To find,
- We have to divide
Solution,
When is divided by
, the remainder is 0 and the quotient is
.
Since the dividend is a quadratic polynomial and the divisor is a linear polynomial, when we divide both the polynomials, we get 0 remainders.
∴ The quotient is and the remainder is
.
⇒ is a factor of
.
Hence, When is divided by
, the remainder is 0 and the quotient is
.
Step-by-step explanation:
Given,
�
2
+
7
�
+
10
x
2
+7x+10 is the dividend
�
+
5
x+5 is the divisor
To find,
We have to divide
�
2
+
7
�
+
10
x
2
+7x+10 by
�
+
5
x+5 .
Solution,
When
�
2
+
7
�
+
10
x
2
+7x+10 is divided by
�
+
5
x+5 , the remainder is 0 and the quotient is
�
+
5
x+5 .
Since the dividend is a quadratic polynomial and the divisor is a linear polynomial, when we divide both the polynomials, we get 0 remainders.
�
2
+
7
�
+
10
x
2
+7x+10
/
(
�
+
5
)
/(x+5)
(
�
+
2
)
(
�
+
5
)
/
(
�
+
5
)
(x+2)(x+5)/(x+5)
(
�
+
2
)
(x+2)
∴ The quotient is
(
�
+
2
)
(x+2) and the remainder is
0
0 .
⇒
�
2
+
7
�
+
10
x
2
+7x+10 is a factor of
�
+
5
x+5 .
Hence, When
�
2
+
7
�
+
10
x
2
+7x+10 is divided by
�
+
5
x+5 , the remainder is 0 and the quotient is
�
+
5
x+5 .