Q 6.20TI - Intermediate Algebra

Question

Factor $y^2-16y+63$$x^2-16x+63$

Step-by-Step Solution

Answer

The factored form is $(x-9)(x-7)$

Step 1: Given information

Given the polynomial, $y^2-16y+63$

Step 2: Writing as parentheses

The polynomial can be written as $(x )(x )$. Now creating the table

Factors of $63$	Sum of factors
$1,63$	$1+63=64$
$3,21$	$3+21=24$
$-9,-7$	$-9-7=-16$

Step 3: Use m , n as last terms of factors and form the factored polynomial

Here 

$$\begin{gathered} m,n=-9,-7 \\ m+n=-16 \\ m\times n=63 \end{gathered}$$

Step 4: Substitute the values and form the factored polynomial

The factored form is $(x-9)(x-7)$