Chapter 4: Q. 24 (page 215)

use the given zero to find the remaining zeros of each function.
$g (x) = x^{3} + 3 x^{2} + 25 x + 75; z e r o : - 5 i$

Short Answer

Expert verified

The zeros of the polynomial is $5 i, - 5 i, 3$

Step by step solution

Given information

We are given an equation $g (x) = x^{3} + 3 x^{2} + 25 x + 75$

Find the zeros by factoring method

We have,

$g (x) = x^{3} + 3 x^{2} + 25 x + 75 x^{3} + 3 x^{2} + 25 x + 75 = 0 x^{2} (x + 3) + 25 (x + 3) = 0 (x^{2} + 25) (x + 3) = 0 (x - 5 i) (x + 5 i) (x + 3) = 0$

Conclusion

The zeros of the polynomial is $5 i, - 5 i, 3$

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use the given zero to find the remaining zeros of each function.
$g (x) = x^{3} + 3 x^{2} + 25 x + 75; z e r o : - 5 i$

Short Answer

Step by step solution

Given information

Find the zeros by factoring method

Conclusion

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use the given zero to find the remaining zeros of each function.g(x)=x3+3x2+25x+75;zero:-5i

Short Answer

Step by step solution

Given information

Find the zeros by factoring method

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Mechanics Maths

Logic and Functions

Decision Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

use the given zero to find the remaining zeros of each function.
$g (x) = x^{3} + 3 x^{2} + 25 x + 75; z e r o : - 5 i$