How do I split the middle term if I have 'x' the middle? Eg: 2x^2 - x- 21
Answers
Answered by
0
See, multiply the coefficient of x² and the constant term and then split it in such a way that it's sum or difference will be the middle term.
Like see this,
2×21 = 42
split it into, 6 and 7
now, 6x- 7x = -x
got me??
2x² - x -21
=2x² +6x -7x -21
=2x(x+3) -7(x+3)
=(x+3)(2x -7)
Like see this,
2×21 = 42
split it into, 6 and 7
now, 6x- 7x = -x
got me??
2x² - x -21
=2x² +6x -7x -21
=2x(x+3) -7(x+3)
=(x+3)(2x -7)
Answered by
88
Answer:
Step-by-step explanation:
Explanation :-
Method for factoring quadratic equations is known as Splitting the middle term.
Multiply the coefficient of x² and last term and then split it into two terms.
Example Solution :-
2x² - x -21
Find product of 1st and last term and then find its factor.
= 2x² + 6x - 7x - 21
= 2x(x + 3) - 7(x + 3)
= (x + 3) (2x - 7)
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