–x3 – 2x2 – 3x A. x(x2 + 2x + 3) B. –x(–x2 – 2x – 3) C. –x(x2 + 2x – 3) D. –x(x2 + 2x + 3)
1 answer:
Option D: is the correct answer
Step-by-step explanation:
Given expression is:
We have to simplify or find the equivalent expression. For that purpose we will use distributive property
We can see that x is a common factor in all terms
So,
Hence,
Option D: is the correct answer
Keywords: Polynomials, factorization
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Answer:
x = - , x = 2
Step-by-step explanation:
To find h(g(x)) substitute x = g(x) into h(x) , that is
h(g(x))
= h(x + 1)
= (x + 1)²
= x² + 2x + 1
For h(g(x)) = 3x² + x - 5 , then
3x² + x - 5 = x² + 2x + 1 ← subtract x² + 2x + 1 from both sides
2x² - x - 6 = 0 ← in standard form
(2x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = -
x - 2 = 0 ⇒ x = 2