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Degree of the sum or product of two polynomials

This type of question, asked 2 times: CDS 2 2017, CDS 1 2018. All 2 questions below, oldest first.

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  1. Question 1

    CDS 2 2017

    6
    Let f(x)f(x) and g(x)g(x) be two polynomials (with real coefficients) having degrees 3 and 4 respectively. What is the degree of f(x)g(x)f(x)g(x) ?

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  2. Question 2

    CDS 1 2018

    17
    If f(x)f(x) and g(x)g(x) are polynomials of degree pp and qq respectively, then the degree of {f(x)±g(x)}\{f(x) \pm g(x)\} (if it is non-zero) is

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