5.4 Notes Part 3 Video

What is the formula for factoring a sum of squares?

• a² + b² = (a + b)(a - b)

• a² - b² = (a + b)(a - b)

• a³ + b³ = (a + b)(a² - ab + b²)

• There isn't one.

The first step in solving a polynomial is to

• set it equal to zero.

• factor it.

• set each factor equal to zero and solve them.

• drink a Red Bull.

What would be the possible number of solutions for this polynomial:

4x² - 100 = 0

(Your answer will be a number only.)

How did we get imaginary answers on this problem?

• We had the square root of a negative.

• We had a negative number in the answer.

• Since we had two real answers, we had to have two imaginary answers.

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