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$(3x^2-7x)+(5x^2+13)$ The given expression can be written as $ax^2+bx+c$ , where $a$ , $b$ , and $c$ , are constants. What is the value of $a$ ?

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Write linear equations in standard form

Full solution

Q.

(3x^2-7x)+(5x^2+13)

The given expression can be written as

ax^2+bx+c

, where

a

,

b

, and

c

, are constants. What is the value of

a

?

Combine like terms: Combine like terms from the given expression $(3x^2-7x)+(5x^2+13)$ . To combine like terms, add the coefficients of the $x^2$ terms together. $3x^2 + 5x^2 = 8x^2$
Identify coefficient $a$ : Now that we have combined the $x^2$ terms, we can identify the coefficient $a$ . The coefficient $a$ is the coefficient of the $x^2$ term in the expression. From the previous step, we have $8x^2$ , so $a = 8$ .

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