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Virty [35]
3 years ago
10

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

Mathematics
1 answer:
Leni [432]3 years ago
4 0

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.

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