21.5 Q Factoring Trinomials When a=1

Front

What is the process of factoring a trinomial when a=1?

Back

To factor a trinomial of the form x² + bx + c, find two numbers that multiply to c and add to b. Rewrite the trinomial as (x + m)(x + n) where m and n are the two numbers.

Front

Factor the trinomial: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

What are the dimensions of a rectangle if its area is given by the trinomial x² + 9x - 36?

Back

(x + 12) units by (x - 3) units.

Front

Factor the trinomial: r² - 16r + 60

Back

(r - 6)(r - 10)

Front

What is a factor of the expression k² - 2k - 24?

Back

(k - 6)

Front

How do you identify the factors of a trinomial?

Back

Look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the trinomial: x² + 9x - 36

Back

(x + 12)(x - 3)

Front

What is the significance of the leading coefficient in factoring trinomials?

Back

When a = 1, the trinomial can be factored directly into two binomials without needing to factor out a common term.

Front

What is the first step in factoring a trinomial?

Back

Identify the coefficients of x², x, and the constant term.

Front

What does it mean to factor an expression?

Back

To express it as a product of its factors.