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Practice each question, then open the answer or worked solution.
3x + 23x2 + 6y2 + 2x + y2 + ____________ = 5x + 7y2.
Solution:-
3x + 23x2 + 6y2 + 2x + y2 + (-23x2) = 5x + 7y2.
Let us consider the missing letter be p.
Then,
3x + 23x2 + 6y2 + 2x + y2 + p = 5x + 7y2
By transposing 3x, 23x2, 6y2, 2x and y2 to RHS
5x – 3x – 23x2 + 7y2 – 6y2 – 2x – y2 = p
2x – 2x – 23x2 + y2 – y2 = p
p = 0 – 23x2 – 0
p = – 23x2
If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has _____ more toffees.
Solution:-
If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has 15xy more toffees.
From the question,
Rohit has 5xy toffees
Shantanu has 20yx toffees
Then, difference between the toffees of both Rohit and Shantanu = 20yx – 5xy = 15 xy
Then Shantanu has 15 xy more toffees.
In questions 33 to 52, state whether the statements given are True or False.
1 + (x/2) + x3 is a polynomial
Solution:-
True.
In general, an expression with one or more than one term (with nonnegative integral exponents of the variables) is called a ‘Polynomial’.
(3a – b + 3) – (a + b) is a binomial.
Solution:-
False.
Consider the given expression,
(3a – b + 3) – (a + b)
3a – b + 3 – a – b
2a – 2b + 3
Therefore, the given expression contains 3 terms.
So, it is a trinomial.
A trinomial can be a polynomial.
Solution:-
True.
In general, an expression with one or more than one term (with nonnegative integral exponents of the variables) is called a ‘Polynomial’.
A polynomial with more than two terms is a trinomial.
Solution:-
False.
Expression with three unlike terms is called a ‘Trinomial’.
Sum of x and y is x + y.
Solution:-
True.
Sum of 2 and p is 2p.
Solution:-
False.
Sum of 2 and p is 2 + p.
A binomial has more than two terms.
Solution:-
False
Expression with two unlike terms is called a ‘Binomial’
A trinomial has exactly three terms.
Solution:-
True.
Expression with three unlike terms is called a ‘Trinomial’.