Answer: a & b
Step-by-step explanation:
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8
a) The simplified expression is a polynomial. TRUE
b) The simplified expression has a constant term. TRUE
c) The simplified expression is cubic. False - it is degree 4
d) The simplified expression has four terms. False - it has 5 terms
e) The simplified expression is a trinomial False - it has 5 terms
The answer is A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.
Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.
A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8.
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