7x^2 19x 6 =7x^2 21x+2x 6 ∵ 7× ( 6)= 42 amp; ∴ 42= 21×2 amp; 19= 21+2 amp; =7x(x 3)+2(x 3) =(x 3)(7x+2) ...

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Standard VIII

Mathematics

Factorisation by Regrouping Terms

Factorise: 7x...

Question

Factorise:

$7 x^{2} - 19 x - 6$

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Solution

$7 x^{2} - 19 x - 6 = 7 x^{2} - 21 x + 2 x - 6 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 7 \times (- 6) = - 42 ∴ - 42 = - 21 \times 2 - 19 = - 21 + 2 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 7 x (x - 3) + 2 (x - 3) = (x - 3) (7 x + 2)$

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Similar questions

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(v) $x^{3} + x^{2} - 4 x - 4.$

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Factorise: 7x2−19x−6

7x2−19x−6=7x2−21x+2x−6 ⎧⎪⎨⎪⎩∵7×(−6)=−42∴−42=−21×2−19=−21+2⎫⎪⎬⎪⎭=7x(x−3)+2(x−3)=(x−3)(7x+2)

Factorise:

$7 x^{2} - 19 x - 6$

$7 x^{2} - 19 x - 6 = 7 x^{2} - 21 x + 2 x - 6 ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} ∵ 7 \times (- 6) = - 42 ∴ - 42 = - 21 \times 2 - 19 = - 21 + 2 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭ = 7 x (x - 3) + 2 (x - 3) = (x - 3) (7 x + 2)$