Question

please reply if any one knows

Answer 1

we are comparing the coefficients of x with 0x+0.
hope you understand.
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Answer 2

Answer:

a = -7, b = 2

Step-by-step explanation:

( 4x² + 3x - 2 ) ( 2x² + 2x - 1 )

= ( 8x⁴ + 14x³ - 2x² - 7x + 2 )

To get this, go

8x⁴ + 14x³ - 2x² + ax + b = ( 4x² + 3x - 2 ) ( cx² + dx + e ).

The coefficient of x⁴ must be the same on both sides, so:

8 = 4c  =>  c = 2

The coefficient of x³ must be the same on both sides, so:

14 = 4d + 3c  =>  4d = 14 - 3c = 14 - 6 = 8  => d = 2

The coefficient of x² must be the same on both sides, so:

-2 = 4e + 3d - 2c  =>  4e = -2 - 3d + 2c = -2 - 6 + 4 = -4  =>  e = -1

That gets c, d and e, so the factorization is the one at the top.