Bookingcom McAfee Security Snagajob - Talent M Sneakers, Footwear,... Pink Moon Lounge Snagajob - Talent M OUTLE SEL sport Othe favorites Submit Assignment Quiz 7 Review KADIAH HARPIS Question 6 of 10 Step 1 of 1 No Time Limit Completely factor the trinomial, if possible. \[ 5 t^{2}+46 t+9 \] AnswerHow to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcuts Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used. Keypad

To factor the trinomial \(5t^{2} + 46t + 9\), let's look for two numbers that multiply to \(5 \times 9 = 45\) and add up to \(46\). The numbers \(45\) and \(1\) fit the bill! Now, we can rewrite the trinomial: \[ 5t^{2} + 45t + t + 9 = 5t(t + 9) + 1(t + 9) \] Now, factor out the common binomial: \[ (5t + 1)(t + 9) \] So, the factored form is \((5t + 1)(t + 9)\). Feeling confident? Just check your multiplication to make sure you can easily expand it back to the original expression! One common mistake when factoring is forgetting to check if you can factor further, or mixing up the signs when adding or multiplying. Don’t be shy to double-check your work!