degree of polynomial p(x) = 11. q (x)=7. Find all possible degrees of p (x) + q(x)
2)Find t if the expansion of the product of x^3-4x^2+2x-5 and x^2+tx-7 has no x^2 term.
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The answer to number one is 11, as the q(x) cannot cancel an exponent of 11 from p(x).
For number 2, let's find the ways to make an x^2 term. We can pair the -4x^2 and -7 together, the 2x and tx together, and then -5 and x^2 together. This gives 28 + 2t - 5 = 0, so 2t + 23 = 0 and t = -11.5.
Hoping this helped,
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