Question

x²-11x+28. Answer in solving please

Answer 1

ANSWER :-

We have to factorize x² - 11x + 28

For solving these problems we must know that we have to break 11 x in two numbers in such a way that the sum of those number is 11 and multiplication is 28.

x² - 11x + 28.

=> x² - 7x - 4x + 28

=> x ( x - 7 ) - 4 ( x - 7 )

=> ( x - 7 ) ( x - 4 )

Hence the factorization of x² - 11x + 28 is ( x - 7 ) ( x - 4 )

Answer 2

$\rightarrow\tt{ {x}^{2} - 11x + 28} \\ \rightarrow\tt{ {x}^{2} - 7x - 4x + 28} \\ \rightarrow\tt{x(x - 7) - 4(x - 7)} \\ \rightarrow\tt{(x - 4)(x - 7) \sf \red{ \: answer}}$