Q:

The expression consists of ? terms, and each term contains ? factors

Accepted Solution

A:
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].