Consider the polynomial 9x2 – 16.
–144–16✔ 09
–12 and –12✔ –12 and 12–8 and 2–4 and 4
(x – 12)(x + 12)(x – 4)(x + 4)(3x – 12)(3x + 12)✔ (3x – 4)(3x + 4)
The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.
What is the factored form of 36x4 – 25?
X x✔ 77x49x
X (x – 7)(x + 7)(9x – 7)(9x – 7)(9x + 7)(9x + 7)✔ (9x – 7)(9x + 7)
What are the two binomial factors for x2 – 25?
The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.
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