Question

Factoring quadratics : x^2 -11x +28​

Answer 1

Answer:

$x {}^{2} - 11x + 28 = 0 \\ x {}^{2} - 7x - 4x + 28 = 0 \\ x(x - 7) - 4(x - 7) = 0 \\ (x - 7)(x - 4) = 0 \\ \\ x = 7 \\ x = 4$

Step-by-step explanation:

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Answer 2

TOPIC :- QUADRATIC EQUATION

SUB-TOPIC :- Factorisation by middle term splitting.

CONCEPT USED :- Divide the middle term into sum of two numbers such that their products gives the product of coefficient of x² and the constant term.

STEPS :-

${x}^{2} - 11x + 28 \\ \\ \\ = {x}^{2} - 7x - 4x + 28 \\ \\ \\ = x(x - 7) - 4(x - 7) \\ \\ \\ = (x - 4)(x - 7) \: ans$

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