Question

Factor this trinomial: 5x^2-12x+4 Please show all work I'll give Brainliest

Answer 1

Answer:

(x - 2)(5x - 2)

Step-by-step explanation:

5x² - 12x + 4

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 4 = 20 and sum = - 12

the factors are - 10 and - 2

use these factors to split the x- term

5x² - 10x - 2x + 4 ( factor the first/second and third/fourth terms )

= 5x(x - 2) - 2(x - 2) ← factor out (x - 2) from each term

= (x - 2)(5x - 2) ← in factored form

Answer 2

Answer:

x = 2

x = 2/5

Step-by-step explanation:

multiply 5 and 4

5* 4 = 20

what 2 numbers added make -12 and multiplied make 20 at the same time?

-10 and -2 do this

5 ( x - 10/5) (x - 2/5) = 0

simplify

5 ( x - 2) ( x - 2/5) = 0

(5( x - 2) ( x - 2/5))/5 = 0/5

( x - 2) ( x - 2/5) = 0

x = 2 x = 2/5

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