Math Problem Statement

What is the factored form or solution of the quadratic expression b^2 + 4b - 21?

Solution

The expression in the image is b2+4b21b^2 + 4b - 21.

Would you like to factor this expression or solve it for a particular value of bb? Let me know how you'd like to proceed!

Here are some options for further exploration:

  1. How can we factor quadratic expressions like b2+4b21b^2 + 4b - 21?
  2. What are the possible roots of b2+4b21=0b^2 + 4b - 21 = 0?
  3. How can we solve quadratic equations using the quadratic formula?
  4. Can completing the square help in solving b2+4b21=0b^2 + 4b - 21 = 0?
  5. What methods exist to check if a quadratic expression is factorable?

Tip: When factoring quadratic equations, always check if the discriminant (from the quadratic formula) is a perfect square—it can indicate if the quadratic is factorable over the integers.

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Math Problem Analysis

Mathematical Concepts

Algebra
Factoring
Quadratic Equations

Formulas

Factoring quadratic expression ax^2 + bx + c
Quadratic formula x = [-b ± sqrt(b^2 - 4ac)] / 2a

Theorems

Zero-product property
Quadratic formula

Suitable Grade Level

Grades 8-10