Question

The expression consists of_______ terms, and each term contains________ factors.

Answer 1

Note: Since you have not added the expression, so I am taking a sample expression which anyways would help you clear your concept regarding factors.

Answer:

Assuming the expression

`3x^2+7x`

• The expression consists of two terms. i.e. and
  `7x`.

• 
  `x` and
  `(3x+7)` are factors of the expression
  `3x^2+7x`.

Explanation:

Lets us consider an expression

`3x^2+7x`

Observe that
`3x^2` and
`7x` are connected by addition. Thus, are terms. So, The expression consists of two terms.
`3x^2` and
`7x`.

Next, let's have some discussion about factors in a mathematical expression.

Factors are said to be the parts of the expression which are connected by multiplication.

Now lets solve the example to determine the factors

`3x^2+7x`

`\mathrm{Apply\:exponent\:rule}:\quad \:a^(b+c)=a^ba^c`

`=3xx+7x` ∵
`x^2=xx`

`\mathrm{Factor\:out\:common\:term\:}x`

`=x\left(3x+7\right)`

Therefore,
`x` and
`(3x+7)` are factors of the expression
`3x^2+7x`.