can anyone show me how this is factorised? 2x^2-11x-21 thx?
回答 (8)
- multiply outer integers: 2 * (-21) = -42
- find factors of -42 which add up to -11: 3 and -14
- so far, we have: 2x^2 + 3x - 14x - 21
- "grouping": x(2x + 3) - 7(2x + 3), which is equal to (x - 7)(2x + 3)
You should check out the site that Geezah recommended.
2x^2 - 11x - 21
= 2x^2 + 3x - 14x - 21
= (2x^2 + 3x) - (14x + 21)
= x(2x + 3) - 7(2x + 3)
= (2x + 3)9x - 7)
2X^2 - 11x - 21 =
2X^2 -14x + 3 x - 21 x =
(2x+3)(x-7)
參考: purple math
2x^2-11x-21
= 2x2 - 14x + 3x - 21
= 2x( x - 7 ) + 3(x - 7)
= (x - 7)* ( 2x +3)
When u have (px + a )* (qx + b) = pqx^2 + (qa + pb)x + ab
x(2x-11-21/x)
or
x^2( 2-11/x-21/x^2)
or
x^3(2/x-11/x^2-21/x^3)
or
...
收錄日期: 2021-05-01 11:00:01
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