Question

Solve my factoring:f(x)=2x^2+5x-3.Multiply the smaller x-intercept by -4​

Answer 1

(-3)(-4) = 12

Explanation:

`f(x)=2x^2+5x-3\\\\x-\text{intercept for}\ f(x)=0\\\\2x^2+5x-3=0\\\\2x^2+6x-x-3=0\\\\2x(x+3)-1(x+3)=0\\\\(x+3)(2x-1)=0\iff x+3=0\ \vee\ 2x-1=0\\\\x+3=0\qquad\text{subtract 3 from both sides}\\\boxed{x=-3}\\\\2x-1=0\qquad\text{add 1 to both sides}\\2x=1\qquad\text{divide both sides by 2}\\\boxed{x=0.5}\\\\-3<0.5`