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
[tex]3x^2+7x[/tex]
- The expression consists of two terms. i.e. and [tex]7x[/tex].
- [tex]x[/tex] and [tex](3x+7)[/tex] are factors of the expression [tex]3x^2+7x[/tex].
Step-by-step explanation:
Lets us consider an expression
[tex]3x^2+7x[/tex]
Observe that [tex]3x^2[/tex] and [tex]7x[/tex] are connected by addition. Thus, are terms. So, The expression consists of two terms. [tex]3x^2[/tex] and [tex]7x[/tex].
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
[tex]3x^2+7x[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c[/tex]
[tex]=3xx+7x[/tex] ∵ [tex]x^2=xx[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x[/tex]
[tex]=x\left(3x+7\right)[/tex]
Therefore, [tex]x[/tex] and [tex](3x+7)[/tex] are factors of the expression [tex]3x^2+7x[/tex].
