Q. 2 E5.0( 3 Votes )

# Find the sq

We factorize each of the above polynomials

6x2 + 5x –6 = 6x2 + 9x –4x –6

6x2 + 5x –6 = 3x(2x + 3)–2(2x + 3)

6x2 + 5x –6 = (3x–2)(2x + 3) …(i)

6x2–x–2 = 6x2–4x + 3x–2

6x2–x–2 = 2x(3x–2) + 1(3x–2)

6x2–x–2 = (2x + 1)(3x–2) …(ii)

4x2 + 8x + 3 = 4x2 + 6x + 2x + 3

4x2 + 8x + 3 = 2x(2x + 3) + 1(2x + 3)

4x2 + 8x + 3 = (2x + 1)(2x + 3) …(iii)

Combining (i), (ii) & (iii) we get

(6x2 + 5x –6) (6x2–x–2)(4x2 + 8x + 3) = (3x–2)2(2x + 3)2(2x + 1)2

Square Root = √ (3x–2)2(2x + 3)2(2x + 1)2

| (3x–2)(2x + 3)(2x + 1)|

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