Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor.\newlinet2+3t+2t^2 + 3t + 2

Full solution

Q. Factor.\newlinet2+3t+2t^2 + 3t + 2
  1. Identify Coefficients: Identify the coefficients of the quadratic expression.\newlineThe quadratic expression is t2+3t+2t^2 + 3t + 2. Here, the coefficient of t2t^2 (aa) is 11, the coefficient of tt (bb) is 33, and the constant term (cc) is 22.
  2. Find Multiplying Numbers: Find two numbers that multiply to c(2)c (2) and add up to b(3)b (3). We need to find two numbers that multiply together to give 22 and add up to give 33. The numbers 11 and 22 satisfy these conditions because 1×2=21 \times 2 = 2 and 1+2=31 + 2 = 3.
  3. Write Factored Form: Write the factored form using the two numbers found.\newlineSince the numbers we found are 11 and 22, the factored form of the quadratic expression t2+3t+2t^2 + 3t + 2 is (t+1)(t+2)(t + 1)(t + 2).