Math, asked by Meghanachowdary, 9 months ago

3xsquare-5×+2 factorise​

Answers

Answered by alkalamate
1

Answer:

The first term is, 3x2 its coefficient is 3 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is +2

Step-1 : Multiply the coefficient of the first term by the constant 3 • 2 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + -1 = -7

-3 + -2 = -5 That's it

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

3x2 - 3x - 2x - 2

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

3x • (x-1)

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

2 • (x-1)

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

(3x-2) • (x-1)

Which is the desired factorization

(x - 1) • (3x - 2)

Step-by-step explanation:

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Answered by attitudegirl317
1

Answer:

Hey mate here's ur answer

3 {x}^{2}  - 5x + 2 \\ 3 {x}^{2}  - 3x - 2x + 2 \\ 3x(x - ) - 2(x - 1) \\ (3x - 2)(x - 1)

Hope it helps u ☺️☺️

Have a great day ✌️✌️

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