Question

Factorize: x^2 - 4x – 21 by splitting the middle term.​

Answer 1

Factories: x² - 4x – 21

By Splitting Method

→x² - 4x – 21

→x² - 7x+3x – 21

→x(x-7)-3(x-7)

→(x-7)(x-3)

Hope It Helpful

Answer 2

Answer:

By splitting the middle term,

${x}^{2} - 4x - 21$

${ x}^{2} - 7x + 3x - 21$

$x(x - 7) + 3(x - 7)$

$(x + 3)(x - 7)$

I hope you understand..

RULES FOR SPLITTING THE MIDDLE TERM

Type I: Factorization of Quadratic polynomials of the form x2 + bx + c. (i) In order to factorize x2 + bx + c we have to find numbers p and q such that p + q = b and pq = c. (ii) After finding p and q, we split the middle term in the quadratic as px + qx and get desired factors by grouping the terms.