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2𝑥^2 + 3𝑥 − 90

Answer:

2𝑥^2 + 3𝑥 − 90

We can further write it as

= 2𝑥^2 − 12𝑥 + 15𝑥 − 90

By taking out the common terms

= 2x (x – 6) + 15 (x – 6)

So we get,

= (2x + 15) (x – 6)

"hello everyone i am sumanjali math tutor
from leader learning welcome to question
and answer session
given question is 2 x square plus 3x
minus 90 an expression was given we need
to
factorize this expression okay
factorize this expression okay so this
is a polynomial
expression first step of okay so here i
am writing the first
step so in the first step we need to
multiply the constant
okay so we need to multiply the constant
and coefficient of
a okay coefficient of a okay
so we need to multiply that okay so here
constant value here constant value is
90 and coefficient of a is 2
okay so i'm multiplying 90 with 2 the
value will be 180 okay
now we need to factor we need to find
factors
for this product okay so we need to find
factors factors of
product that is equals to 180
okay so here the the factors should be
in such a way that
if we add or subtract we should get this
particular value okay for example if we
take 180 okay
so if we divide 180 with 10 so we will
be getting 18 that means
180 can be written as 10 into 18
okay but if we add 10 plus 18 we will be
getting
28 and 10 minus 18 or 18 minus 10
we will get 8 okay so in no way we will
getting
3 okay but we need to think about a
factors
so that if we add or subtract the
factors we should get the coefficient of
the middle term that is
that is x coefficient okay yeah
so here uh here the products of 180 can
be written as
12 15 sir okay so 12 15's are 180
so that like yeah so we can write 3x as
so i can write the equation expression
again
2x square plus 3x minus
90 okay so i'm writing 3x
as 2x square plus 15x
plus i'm writing 12 x okay so i'm
writing 12x
first okay so minus 12
x plus 15 x okay
so there is no standard process here we
need to cross check
again and again like that okay so now if
we take common 2x
here so it will be x will remain so here
minus 6 will be there okay so now if i
take
15 common here so x will be here and 15
60 90 so 6 will remain so here okay
so we can write the given expression as
product of
x minus 6 and 2x plus 15
okay so the given expression is 2x
square
plus 3x minus 90 okay it can be written
as x minus 6 into 2x
plus 15 okay that's all
please subscribe to the channel leader
learning for further
queries thank you"

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