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 $3x^2+7x$.

Step-by-step 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 $3x^2+7x$.