Which equation is equivalent to the formula below?
2 answers:
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Given:
The given polynomial is
When it divided by (x+1) gives remainder 0 and when divided by (x-2) gives remainder of 45.
To find:
The values of m and n.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
Let the given polynomial be P(x).
When it divided by (x+1) gives remainder 0. So, P(-1)=0.
...(i)
When P(x) is divided by (x-2) gives remainder of 45. So, P(2)=0
...(ii)
Multiply 2 on both sides of (i).
...(iii)
Subtract (iii) from (ii).
Putting m=5.5 in (i), we get
Therefore, the values of m and n are 5.5 and -21.5 respectively.
Given:
Length of the rectangle =
Width of the rectangle =
The perimeter of the rectangle is less than 140.
To find:
The inequality for the given situation and solve it.
Solution:
We have,
We know that, the perimeter of a rectangle is
It is given that the perimeter of the rectangle is less than 140.
Divide both sides by 4.
Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is .