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$Find the missing factor B that makes the equality true. {:[-35x^(6)=(-5x^(2))(B)],[B=◻]:}$

Find the missing factor $B$ that makes the equality true. $\newline$ $\begin{array}{l} -35 x^{6}=\left(-5 x^{2}\right)(B) \\ B=\square \end{array}$

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Integer inequalities with absolute values

Full solution

Q. Find the missing factor

B

that makes the equality true.

\newline

\begin{array}{l} -35 x^{6}=\left(-5 x^{2}\right)(B) \\ B=\square \end{array}

Identify equation and goal: Identify the given equation and the goal. We are given the equation $-35x^6 = (-5x^2)B$ and we need to find the value of $B$ .
Isolate B: Divide both sides of the equation by $-5x^2$ to isolate B. This gives us $B = \frac{-35x^6}{-5x^2}$ .
Simplify equation: Simplify the right side of the equation. The $-35$ divided by $-5$ gives us $7$ , and $x^6$ divided by $x^2$ gives us $x^{(6-2)}$ or $x^4$ . So, $B = 7x^4$ .

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