Question

factorise by splitting the middle term 3x²-14x+8​

Answer 1

Answer:

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Answer 2

Answer:

4 and 2/3

Step-by-step explanation:

3x² - 14x + 8​

Now we need to split - 14x

The equation is in the form of x²+(a+b)x+ab = (x-a)(x-b)

So, now we need to find 'a' and 'b' such that (a+b) = -14x and ab = 8 x 3

Wkt 24 = -2 x -12 and -14 = -2 + (-14)

Now, we have

3x² - 2x - 12x + 8

⇒ x(3x - 2) - 4(3x - 2)

⇒ (x - 4)(3x - 2)

∴ The factors of 3x² - 14x + 8​ are 4 and 2/3

Hope this helped!