Terms of Polynomials

What is the degree in the expression 3r²

• 1

• 2

• 4

• 5

The factorisation of 12x+36 is

• 12(x+3)

• 12(3x)

• 12(3x+1)

• x(12+36x)

Answer explanation

To factorize 12x+36, we can factor out the greatest common factor, which is 12. This gives us 12(x+3), making the correct choice 12(x+3).

On factorizing 14pq + 35pqr, we get:

• pq(14+35r)

• p(14q+35qr)

• q(14p+35pr)

• 7pq(2+5r)

Answer explanation

Factor out the common factor '7pq' from both terms to get 7pq(2+5r), which is the correct factorization.

The factors of x²+xy+8x+8y are:

• (x+y) (x+8)

• (2x+y) (x+8)

• (x+2y) (x+8)

• (x+y) (2x+8)

Answer explanation

The factors of x^2+xy+8x+8y are (x+y)(x+8) as they multiply to give the original expression

Factorize 3x^2y - 6xy^2

• 3 (xy-y)

• 3x (xy-2xy)

• 3xy (x-2y)

• none of these

Answer explanation

To factorize 3x^2y - 6xy^2, factor out the common term 3xy to get 3xy(x-2y). Therefore, the correct choice is 3xy (x-2y).

Factorize 18xy - 12y

• 6y(3x - 2)

• 6(3xy - 2y)

• 6y(3x + 2)

• 6(3x - 2y)

Answer explanation

To factorize 18xy - 12y, factor out the common factor of 6y to get 6y(3x - 2). Therefore, the correct choice is 6y(3x - 2).

Factorize 20xy - 15y

• 5y(4x - 3)

• 5(4xy - 3y)

• 5y(4x + 3)

• 5(4x - 3y)

Answer explanation

Answer Explanation or steps to get to the answer

How many terms are in the polynomial below?

Emily is saving up to buy a new phone. She already has $75 and can save an additional $7 per week using money from her after school job. The expression 7w+75 represents the amount of money Emily would have saved in w weeks. What is the degree of the expression 7w+75?

Classify the following polynomial (monomial, binomial, trinomial, polynomial)