Answer :
The given polynomial function y = 1 + 2x^6 - 4x^2 - 2x^6 simplifies to y = 1 - 4x^2, which is a quadratic polynomial.
The given polynomial function is y=1+2x6−4x2−2x6y=1+2x6−4x2−2x6.
Simplify the terms with the same exponents:
y=1+2x6−2x6−4x2y=1+2x6−2x6−4x2
The terms 2x62x6 and −2x6−2x6 cancel each other out, so we are left with:
y=1−4x2y=1−4x2
The polynomial function y=1−4x2y=1−4x2 is already in standard form, which is the form of a polynomial where the terms are arranged in descending order of their exponents. In this case, the polynomial is of degree 2 (quadratic) and consists of two terms, 11 and −4x2−4x2.
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