Learn How To Compose Two Functions with Variable Binomial

The video tutorial explains how to solve a mathematical problem involving functions and algebraic expressions. It begins with setting up the problem, followed by solving the function using the FOIL method and combining like terms. The tutorial concludes with the final evaluation and distribution of the function, ensuring all steps are clear and logical.

What is the result of substituting 'a + 4' into the function H(x) = x^2 + 6x + 8?

• a^2 + 8a + 16

• a^2 + 6a + 8

• a^2 + 10a + 24

• a^2 + 14a + 48

Which method is used to expand the expression (a + 4)^2?

• FOIL Method

• Binomial Theorem

• Quadratic Formula

• Distributive Property

What is the simplified form of the expression (a + 4)^2?

• a^2 + 8a + 16

• a^2 + 14a + 48

• a^2 + 16a + 24

• a^2 + 10a + 20

What is the result of applying the distributive property to 5 * (a^2 + 14a + 48)?

• 5a^2 + 14a + 48

• 5a^2 + 56a + 240

• 5a^2 + 28a + 240

• 5a^2 + 70a + 240

What is the final simplified expression for 5 * H(a + 4)?

• 5a^2 + 14a + 48

• 5a^2 + 56a + 240

• 5a^2 + 28a + 240

• 5a^2 + 70a + 240