Question

X^2-9x+20 the factor of this trinomial are(____)(___)

Answer 1

(x-4)(x-5)

Explanation:

Firstly you need to use the second equation formula to get the value of x.

x=
`\frac{-(-9)+- \sqrt{(-9)^(2)-4*1*20 } }{2*1}`

x=
`(9+- √(81-80 ) )/(2)`

x=
`(9+-1)/(2)`

so,

x=
`(9+1)/(2)` x=5

and

x=
`(9-1)/(2)` x=4

When writing the factor, we have to change signs of 5 and 4. So it will be -5 and -4.

That's why the awnser is (x-4)(x-5)

Hope it helps!

Answer 2

(x-4) (x-5)

Explanation:

* means multiply

first you figure out what 2 numbers

when added make 9

when multiplied make 20

those are 4 and 5

(x 4) (x 5)

in this case

-4 -5 make -9

-4 * -5 make 20

(x-4) (x-5)