Question

For what values of t can 6x^2 + tx + 25 be written as the product of two binomials?

Answer 1

The value of t that 6x^2 + tx + 25 be written as the product of two binomials is $10\sqrt 6$

What are binomials?

Binomial expressions are any mathematical expression that have two terms

The expression is given as:

$6x^2 + tx + 25$

A quadratic expression is represented as:

$ax^2 + bx + c$

If the expression is a perfect square, then:

$b = 2\sqrt{ac$

So, we have:

$t = 2\sqrt{6 \times 25$

This gives

$t = 2 \times 5 \times \sqrt 6$

$t = 10\sqrt 6$

Hence, the value of t is $10\sqrt 6$

Read more about binomials at:

https://brainly.com/question/13602562