Question

question 1. the area of a rectangular picture frame is represented is $6x^2 + 13x + 5$. what are the dimensions of the frame? a. $(2x + 5)(3x - 1)$ b. $(2x - 5)(3x + 1)$ c. $(2x + 1)(3x + 5)$ d. $(2x - 1)(3x - 5)$

Explanation:

Step1: Multiply option A

$(2x+5)(3x-1)=6x^2-2x+15x-5=6x^2+13x-5$

Step2: Multiply option B

$(2x-5)(3x+1)=6x^2+2x-15x-5=6x^2-13x-5$

Step3: Multiply option C

$(2x+1)(3x+5)=6x^2+10x+3x+5=6x^2+13x+5$

Step4: Multiply option D

$(2x-1)(3x-5)=6x^2-10x-3x+5=6x^2-13x+5$

Answer:

C. $(2x + 1)(3x + 5)$