To solve a quadratic equation by grouping, one needs to factor the quadratic expression. Factoring the quadratic expression involves finding two binomials that multiply together to give the original quadratic expression.
Out of the given options, the quadratic expression that can be solved by grouping is the one that can be factored into two binomials.
A. x^2 + 8x - 22 = 0 - This quadratic expression cannot be factored into two binomials.
B. x^2 - 12x + 18 = 0 - This quadratic expression cannot be factored into two binomials.
C. x^2 - 4x - 8 = 0 - This quadratic expression cannot be factored into two binomials.
D. x^2 + 10x + 21 = 0 - This quadratic expression can be factored into (x + 3)(x + 7). Hence, it can be solved by grouping.
Therefore, the quadratic equation that can be solved by grouping is:
D. x^2 + 10x + 21 = 0
Which of the following quadratic can be solved by grouping?
A. x^2 + 8x - 22 = 0
B. x^2 - 12x + 18 = 0
C. x^2 - 4x - 8 = 0
D. x^2 + 10x + 21 = 0
1 answer
1 answer