Question B.4.5: Factoring the special products Factor each polynomial. a. 4x...
Factoring the special products
Factor each polynomial.
a. 4x² – 1 b. x² – 6x + 9 c. 9y² + 30y + 25
a. 4x² – 1 = (2x)² – 1² Recognize the difference of two squares.
= (2x + 1)(2x – 1)
b. x² – 6x + 9 = x² – 2 · 3 · x + 3² Recognize the perfect square trinomial.
= (x-3)²
c. 9y² + 30y + 25 = (3 y)² + 2(3y)(5) + 5² Recognize the perfect square trinomial.
= (3y + 5)²
Related Answered Questions
Question: B.4.6
Verified Answer:
a. Since x^{3}-27=x^{3}-3^{3}, we ...
Question: B.4.2
Verified Answer:
a. Factor the common factor x^{2} ...
Question: B.5.6
Verified Answer:
a. \frac{x}{x-1}+\frac{2 x+3}{x^{2}-1}=\f...
Question: B.5.5
Verified Answer:
a. Compare the two denominators. Since 6ab = 2a(3b...
Question: B.5.4
Verified Answer:
a. \frac{9}{2 x} \div \frac{3}{x}=\frac{9}...
Question: B.5.3
Verified Answer:
a. \frac{2 a-2 b}{6} \cdot \frac{9 a}{a^{...
Question: B.5.2
Verified Answer:
a. \frac{2 x+4}{x^{2}+5 x+6}=\frac{2(x+2)}...
Question: B.5.1
Verified Answer:
a. The domain is the set of all real numbers excep...
Question: B.4.7
Verified Answer:
a. 2 w^{4}-32=2\left(w^{4}-16\right)[/late...
Question: B.4.4
Verified Answer:
a. Since ac = 2 ⋅ 2 = 4 and b = 5, we need two num...