Question

Factorise ::
$x {}^{2} - 23 + 142x - 120$
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Answer 1

$\large\bf{\underline{\underline{\orange{Given\: Equation:-}}}}$

• $\bf{\green{x^2 - 23 + 142x - 120}}$
• $\bf{\green{x^2 + 142x - 143}}$

$\large\bf{\underline{\underline{\orange{Factorising:-}}}}$

๛ $\bf{x^2 + 142x - 143}$

๛ $\bf{x^2 + 143x - x - 143}$

๛ $\bf{x(x + 143) - 1(x + 143)}$

๛ $\bf{(x - 1) (x + 143)}$

★ Roots:-

$\bf{→ x = 1}$

$\bf{→ x = -143}$

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$\large\mathcal{\underline{Additional\: information}}$

✒ The general form of a quadratic function is f(x) = ax² + bx + c where a, b, and c are real numbers and a ≠ 0.

Answer 2

ANSWER✔

$\dashrightarrow x^2-23+142x-120$

$\dashrightarrow x^2+142x-120-23$

$\implies x^2+142x-143$

$\implies x^2+143x-x-143$

$\implies x(x+143)-1(x+143)$

$\implies (x-1)(x+143)$

$\large{\boxed{\bf{\star\:\:(x-1)(x+143) \:\:\star }}}$

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