How do I factor this polynomial by grouping?

2x^2 - 13x + 20

2x^2 - 13x + 20

2x^2-13x+20

= (2x-5) (x-4)

I hope that’s help !

You don’ need to grooup

what you do is

factor first term

2=1 times 2

(2x-)(x-)

they are both minus since middle term is negative

now factor other term and get the factors closest together

20=5 times 4

(2x-5)(x-4)

try it out

2x^2-5x-8x+20

2x^2-13x+20

faotred is

(2x-5)(x-4)

if you want to group you do

2 times 20=40

find what 2 numbers multiply to get 40 and add to get -13

numbers are -8 and -5

split it up

2x^2-8x-5x+20

group like factors

(2x^2-8x)+(-5x+20)

undistribute common factors

(2x)(x-4)+(-5)(x-4)

reverse distributive property ab+ac=a(b+c)

(2x-5)(x-4)

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