Maths True False[1 Marks ]

True.
Solution:
When we subtract a monomial from a trinomial, then answer can be binomial or polynomial.
e.g. Subtract y² from y² - x² - 2xy.
= (y² - x² – 2xy) -y³ = y² - y² - x² - 2xy = -x² - 2xy
Hence, answer is binomial.

Flase.
Solution:
When we add a monomial and a trinomial, then it can be binomial or trinomial
e.g. Add xy and x³ + 2xy - y³
= xy + (x³ + 2 xy - y³)
= xy + 2xy + x³ - y³ = 3xy + x³ - y³
Hence, answer is trinomial.

False.
Solution:
As, Sun has infinite planets around it.

True.
Solution:
Sum of x and y is x+y.

False.
Solution:
Sum of 2 and p is 2 + p.

True.
Solution:
Expression with one or more than one term is called a polynomial.

True.
Solution:
In like terms, algebraic factors are same.

False.
Solution:
e.g. -3x²y and 4x²y are like terms as they have same algebraic factor x²y but have different numerical coefficients.

False.
Solution:
If we subtract a monomial from a binomial, then answer is atleast a monomial, e.g. Subtract x and x - y = x - (x - y) = x - x + y = y, i.e. monomial.
Hence, the answer is monomial.

False.
Solution:
If we add a monomial and a binomial, then answer can be a monomial, e.g. Add x² and -x² + y²
= x² + (-x² + y²)
= x² - x² + y² = y²
Hence, the answer is monomial.

True.
Solution:
A trinomial has exactly three unlike terms.

True.
Solution:
Trinomial is a polynomial, because it has three terms.

Fales.
Solution:
A polynomial with more than two terms can be trinomial or more. While a trinomial have exact three terms.

False.
Solution:
Binomial has exactly two unlike terms.

True.
Solution:
Because both the terms have different algebraic factors.

False.
Solution:
Numerical coefficient of q² in -4pq² = -4.

False.
Solution:
We have , (3a - b + 3) - (a + b) = 3a - b + 3 - a - b
= 3a - a - b - b + 3 = 2a - 2b + 3
The expression has three terms, it is a trinomial.