What are the x-intercepts of the quadratic function? f(x) = x^2 − 3x − 10 Enter your answers in the boxes. ______ and ______
@Vocaloid
start by factoring it
(5, 0) and (-2, 0)
yeah that's right if the problem doesn't accept that as your answer, it might want just "5" and "-2" instead, I'm not sure
you think ?
try entering (5, 0) and (-2, 0) first, if it doesn't accept that, enter 5 and -2
your math is correct
Let f(x) = x^2 + 14x + 48. What are the zeros of the function? Enter your answers in the boxes. ______ and _______
same thing as before, start factoring
f(x) = (x - 4) (x + 6)
that's not quite right, check your factoring again hint - pick two integers that multiply together to get 48 and add to get 14
12 x 4
not quite 12 + 4 is not 14
the answers are -6 and 4
nope -6 + 4 is not 14 remember the sum must be ***14***
no that's x intercepts
does (x+6)(x-4) = x^2 + 14x + 48? if not, then 6 and -4 are NOT the intercepts.
(4, 0) and (-6, 0)
and yes
use foil to expand (x+6)(x-4) you will see that it is not equal to x^2 + 14x + 48
again, you must pick two numbers that *** add up to 14 *** and *** multiply to get 48 ***
2x for 14 and 24 for 48
nope, keep trying, we are looking for two integers (not variables)
start by listing pairs of numbers that multiply to get 48
6 x 8 = 48, 6 and 8 add up to 14 and multiply to 48
good so we factor to get (x+6)(x+8) = 0 what are the x-intercepts?
x = -6, -8
good, so (-6,0) and (-8,0) are your intercepts
What are the x-intercepts of the quadratic function? f(x) = x^2 + 2x − 24 Enter your answers in the boxes. ____ and _____
did we did this already ?
not yet try picking two numbers that multiply to get -24 and add to get 2
the answers is -6 and 4
for the intercepts? yeah, (-6,0) and (4,0)
thank you so very much
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