Question

Factor the trinomial. $t^{2}+8 t+15$

   Factor the trinomial.
$t^{2}+8 t+15$

Algebra and Trigonometry

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 0, Problem 23

Instant Answer

Solved by Expert Ankit Gupta

07/20/2020

Step 1

The numbers 3 and 5 satisfy these conditions because 3*5 = 15 and 3+5 = 8. Show more…

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Factor the trinomial. $t^{2}+8 t+15$

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Key Concepts

Product-Sum Method

The product-sum method is a strategy used for factoring quadratic trinomials, particularly when the leading coefficient is 1. It involves finding two numbers that multiply to give the constant term and add up to the coefficient of the linear term, thereby enabling the expression to be factored into two binomials.

Factoring Polynomials

Factoring is the process of rewriting a polynomial as a product of simpler expressions such as binomials or monomials. This technique is essential for solving equations, simplifying expressions, and analyzing polynomial functions.

Quadratic Trinomials

A quadratic trinomial is a polynomial expression with three terms where the highest exponent is two, typically written in the form ax² + bx + c. This type of expression is common in algebra and frequently requires factorization to simplify equations or find solutions.

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