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math subject po ito chinange ko lang paki sagot po please with solution

1.) (3x-4) (6x⁴-17x³+24x²-3x+24)

2.(12y²+y-35) (3y-5)

sa monday napo namin isasubmit jan 4,2021 please po sa mga genius dyan patulong naman

Sagot :

Answer:

1.)? i don't know sorry

2.)

Answer:

[tex](3y - 5) {}^{2} • (4y + 7)[/tex]

Solution:

Factoring 12y²+y-35

The first term is, 12y² its coefficient is 12 .

The middle term is, +y its coefficient is 1 .

The last term, "the constant", is -35

Step-1 : Multiply the coefficient of the first term by the constant 12 • -35 = -420

Step-2 : Find two factors of -420 whose sum equals the coefficient of the middle term,

which is 1.

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and 21

12y² - 20y + 21y - 35

Step-4 : Add up the first 2 terms, pulling out like factors :

4y • (3y-5)

Add up the last 2 terms, pulling out common factors :

7 • (3y-5)

Step-5 : Add up the four terms of step 4 :

(4y+7) • (3y-5)

Which is the desired factorization

Multiply (3y-5) by (3y-5)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (3y-5) and the exponents are :

1 , as (3y-5) is the same number as (3y-5)¹

and 1 , as (3y-5) is the same number as (3y-5)¹

The product is therefore, (3y-5)^(1+1) = (3y-5)²

#sorry ha number 2 lng po alam ko

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