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cferguson
30.01.2020 •
Mathematics
Complete the factorization of 3x2 – 10x + 8.
3x2 – 10x + 8 = (x –
)(
x – 4)
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Ответ:
We shall use the method of splitting the middle term
To factorize
3x² - 10 x + 8
We need two numbers which add to give -10 and multiply to give 3 × 8 = 24
The numbers are -6 & -4
(-6)+(-4) = -10
(-6)(-4) = 24
So we shall split -10x as -6x - 4x
We get
3x² -10x + 8
= 3x² -6x -4x+8
Taking out 3x common from first two terms & -4 from the lest two terms we get
= 3x(x-2)-4(x-2)
Taking out (x-2) common we get
= (x-2)(3x-4)
So
3x² - 10x + 8 = (x-2)(3x-4)
Ответ:
picture no.1
Step-by-step explanation: