The factors of the quadratic equation 3x² + 10x − 8. will be ( 3x - 2 )( x + 4 ). The correct option is D.
What is a quadratic equation?
A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The given quadratic equation will be solved as follows:-
3x² + 10x − 8
Split the value 10x into 12x and 2x and solve further.
3x² + 10x − 8 = 3x² + 12x - 2x − 8
Take 3x common from the equation and write.
3x² + 10x − 8 = 3x ( x + 4 ) - 2 ( x + 4 )
Take x + 4 from the whole equation.
3x² + 10x − 8 = 3x ( x + 4 ) - 2 ( x + 4 )
3x² + 10x − 8 = ( x + 4 ) ( 3x - 2 )
Therefore, the factors of the quadratic equation 3x² + 10x − 8. will be ( 3x - 2 )( x + 4 ). The correct option is D.
To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ2
