Q 6.22TI - Intermediate Algebra

Question

Factor $-7n+12+n^2$

Step-by-Step Solution

Answer

The factored form is $(n-3)(n-4)$

Step 1: Given information

Given the polynomial $-7n+12+n^2$

Step 2: Arranging in decreasing order

The polynomial in decreasing order is ,$n^2-7n+12$

Step 3: Writing as parentheses

The polynomial in parentheses is $(n )(n )$. The table is 

Factors of $12$	Sum of factors
$1,12$	$1+12=13$
$2,6$	$2+6=8$
$-3,-4$	$-3-4=-7$

Step 4: Use m , n as last terms of factors and form the factored polynomial

Here

$$\begin{gathered} m,n=-3,-4 \\ m+n=-7 \\ m\times n=12 \end{gathered}$$ 

Step 5: Substitute the values and form the factored form

The factored form is $(n-3)(n-4)$