Mathematics: How do you factor this trinomial? 10n^2 + n – 3 step by step ^^

How do you factor this trinomial? 10n^2 + n – 3 step

Ответ:

keshan3000

17.01.2022

Mathematics

First way
n = -5n + 6n

10n^2+n-3=10n^2-5n+6n-3=5n(2n-1)+3(2n-1)=(2n-1)(5n+3)

Second way
f(x)=a(x-x_1)(x-x_2)

the formula

$an^2+bn+c=0\\\\ 10n^2+n-3=0$

a=10 , b=1 , c=-3

$\Delta=b^2-4ac=1^2-4\cdot 10\cdot (-3)=121\\\\ \sqrt\Delta=11$

$n_1=\frac{-b-\sqrt\Delta}{2a}=\frac{-1-11}{2\cdot 10}=\frac{-12}{20}=-\frac{3}{5}\\\\ n_2=\frac{-b+\sqrt\Delta}{2a}=\frac{-1+11}{2\cdot 10}=\frac{10}{20}=\frac{1}{2}$

$f(n)=10[n-(-\frac{3}{5})]\cdot (n-\frac{1}{2})\\\\ f(n)=10(n+\frac{3}{5})(n-\frac{1}{2})$
the answer 1
or

a = 10 = 5*2

$f(n)=5(n+\frac{3}{5})\cdot 2(n-\frac{1}{2})\\\\f(n)=(5n+3)(2n-1)$
the answer 2

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Ответ:

landofliam30

14.07.2022

Mathematics

J-14=46

Step-by-step explanation:

Since j is Jenny's height which is decreased by 14

J-14

Now J-14 is 46

J-14=46

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How do you factor this trinomial?

10n^2 + n – 3

step by step ^^

Ответ:

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