Which of the following is a root of P(x)=-2x^3+x^2+4x+4? -1 0 1 2
1 answer:
Answer:
2
Step-by-step explanation:
You know 0, 1, and -1 are not roots, because the constant is not 0 and the coefficients don't add to 0, even when negating the ones of odd-degree terms.
When evaluating polynomials by hand, it often works well to write them in "Horner form."
P(x) = ((-2x +1)x +4)x +4
P(2) = ((-2·2 +1)2 +4)2 +4 = (-3·2 +4)2 +4 = -2·2 +4
P(2) = 0
2 is a root of P(x).
_____
I like a graphing calculator for questions like this. It can give an answer instantly. (The equation was pasted directly from the question into the calculator, so the solution took 2 clicks and 2 keystrokes.)
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An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.
<h3>What is an Expression?</h3>In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (√2)π/(√5) can be written as,
= 0.6324 × π
= 1.9869 ≈ 2
Hence, The value of the expression (√2)π/(√5) is 2.
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