Determine which polynomial has (x-9) as a factor. A. x^2-6+9 B. x^2+16x+63 C. x^2+14x+45 D. x^2-12x+27

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Determine which polynomial has (x-9) as a factor. A. x^2-6+9 B. x^2+16x+63 C. x^2+14x+45 D. x^2-12x+27

Mathematics
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heeey
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Other answers:

a is 3+x^2
b is x^2+16x+63
@Mumustar78612 what does that mean? +x^2 is not a factor or relevant to this question @sunrise14 do oyu want ot know how to do this?
yes please
ok so you know that we are looking for 2 factors that make the original equation AND you know that 1 of those factors is (x-9) OK so far?
yes
ok so the x^2 term comes from multiplying th efirst two terms of the brackets together and in this case it is 1*x^2 so the factors must be (x-9) (x-a) (so that x*x gives us x^2) OK so far?
yes
hello?
ok now look at the last term it is -9 *x so looking at the answers for answer a, x would be -1 (to give +9) for answer b, x would be -7 (to give +63) for answer c, x would be -5 (to give +45) for answer a=d, x would be -3 (to give +27) so now you need to find which ofthose would work out to give the correct middle factor when you expand the brackets
so for a (x-9)(x-1) b (x-9)(x-7) c (x-9)(x-5) d (x-9)(x-3) which one expands to give the full quadratic answer correctly?
I believe I would lean to c but MrNood is a human calculator
to be honest, i dont know
Well you can factor the same expression different ways. Do you know how to factor?
ok = I have written the possible factors for all the answers We know these are the possible ones because the first term must be x (to give us x^2) and the last term must be as written to give us the constant) SO Multiply them all out using FOIL method and see which one turns out to be a correct result
i did it in a certain way that was on the video but im still confused
So for a multiply this (x-9)(x-1)
using foil?
yes
i get confused trying to do that, can you draw?
no you need that as a core skill to do factorising If you can't do it then you need to go back and learn it I promise you - time spent learning that method NOW will be repaid many times in the course of your future studies

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