Question 7 (2 points)Given f(x) = 2x - 4 and g(x) = x 2 + 3, what is an equation for p(x) = f(x) g(x)?ap(x) = 3x3 + 4x2 + 6x - 12p(x) = x2+2x-1p(x) = 2x3 - 4x2 + 6x - 12O. dp(x) = 2x2 + 2x - 12
Answer (1)
Answer:[tex]p(x) = 2x^3 - 4x^2 + 6x - 12[/tex]Step-by-step explanation:If p(x) = f(x) * g(x), then:p(x) = [tex](2x-4)(x^2+3)\\[/tex]Use FOIL MethodMultiply the FIRST terms[tex](2x)(x^2)=2x^3[/tex]Multiply the OUTER terms[tex](2x)(3)=6x[/tex]Multiply the INNER terms[tex](-4)(x^2)=-4x^2[/tex]Multiply the LAST terms[tex](-4)(3) = -12[/tex]Lastly add all the terms[tex](2x^3)+(6x)+(-4x^2)+(-12)\\2x^3 + 6x - 4x^2 -12\\2x^3 - 4x^2 +6x-12[/tex]
