Question

Question:-

${\sf{(4 {x}^{2}-9x + 2)(7 {x}^{2} - 13x - 2)(28 {x}^{2} - 3x - 1)}}$

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Answer 1

Step-by-step explanation:

$4 {x}^{2} - 9x + 2$

Multiply the coefficient of x^2 and 2

(4 × 2 = 8)

$</p><p>(4 {x}^{2} - 8x - x + 2)</p><p>$

$4x(x - 2) - 1(x - 2)$

$(4x - 1)(x - 2)$

$7 {x}^{2} - 13x - 2$

Multiply the coefficient of x^2 and -2

$(7 {x}^{2} - 14x + x - 2)$

$7x(x - 2)1(x - 2)$

$(7x + 1)(x - 2)$

$28 {x}^{2} - 3x - 1$

Multiply the coefficient of x^2 and -1

$(28 {x}^{2} - 7x + 4x - 1)$

$7x(4x - 1) \: \: 1(4x - 1)$

$(7x + 1)(4x - 1)$