Chapter 4: Q. 101 (page 211)

Is $\frac{3}{5}$ a zero of localid="1646143732762" $f (x) = 2 x^{6} - 5 x^{4} + x^{3} - x + 1$ ? Explain.

Short Answer

Expert verified

$\frac{3}{5}$ is not a zero of function $f (x) = 2 x^{6} - 5 x^{4} + x^{3} - x + 1$ becouse $f (\frac{3}{5}) \neq 0$

Step by step solution

Step 1. Given data

The given function is

$f (x) = 2 x^{6} - 5 x^{4} + x^{3} - x + 1$

Zero of the function is $\frac{3}{5}$

Step 2. Verification

Substitute $\frac{3}{5}$ for x in the function

localid="1646143682252" $f (x) = 2 x^{6} - 5 x^{4} + x^{3} - x + 1 f (\frac{3}{5}) = 2 {(\frac{3}{5})}^{6} - 5 {(\frac{3}{5})}^{4} + {(\frac{3}{5})}^{3} - (\frac{3}{5}) + 1 f (\frac{3}{5}) = 0.06 f (\frac{3}{5}) \neq 0$

$f (\frac{3}{5})$ is not equal to zero so $\frac{3}{5}$ is not a zero of the function

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Is $\frac{3}{5}$ a zero of localid="1646143732762" $f (x) = 2 x^{6} - 5 x^{4} + x^{3} - x + 1$ ? Explain.

Short Answer

Step by step solution

Step 1. Given data

Step 2. Verification

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Is35a zero of localid="1646143732762" f(x)=2x6-5x4+x3-x+1? Explain.

Short Answer

Step by step solution

Step 1. Given data

Step 2. Verification

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Geometry

Calculus

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

Is $\frac{3}{5}$ a zero of localid="1646143732762" $f (x) = 2 x^{6} - 5 x^{4} + x^{3} - x + 1$ ? Explain.