Question

Consider the polynomial shown p(x)=2x^4-8x^3+6

Answer 1

The zeroes for the given polynomial will be 1 and 3.

What is a polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

$\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n$

It is given that the polynomial is, p(x)=2x⁴-8x³+6

$=2x^4-8x^3+6 \\\\ =2\left(x^4-4x^3+3\right) \\\\ =2\left(x-1\right)\left(x^3-3x^2-3x-3\right) \\\\ 2(x-1)+x^2(x-3)-3(x-3) \\\\ x =1 \\\\ x = 3$

Thus, the zeroes for the given polynomial will be 1 and 3.

The question is incomplete the complete question is"Consider the polynomial p(x)=2x⁴-8x³+6

a. Graph p(x)=2x⁴-8x³+6, and find the real zero of polynomial p.

Learn more about Polynomial here:

brainly.com/question/17822016

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