## anonymous 5 years ago Find the missing value such that the given binomial is a factor of the given polynomial. x^2-4x-?, X+6 please show the work

1. anonymous

yes you want $x^2-4x+?=(x+6)(something)$

2. anonymous

when you substitute x = -6 you will have to get 0 as an answer because the first term will be 0. so substitute x = -6 on the left hand side, set = 0 and solve

3. anonymous

ahhh i see

4. anonymous

$(-6)^2-4\times (-6)+?=0$ $36+24+?=0$ $60+?=0$ $?=-60$

5. anonymous

so it is $x^2-4x-60=(x+6)(x-10)$

6. anonymous

k?

7. anonymous

got it thanks!

8. anonymous

welcome

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