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Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.
<h3>What is a polynomial?</h3>
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Example: x²+3x+5 is a polynomial.
The polynomial whose factors are (a²-6) and (a²+4) is,
P(x) = (a²-6)(a²+4)
= a⁴ + 4a² - 6a² - 24
= a⁴ - 2a² - 24
Hence, The polynomial whose factors are (a²-6) and (a²+4) is a⁴ - 2a² - 24.
Learn more about Polynomials:
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Step-by-step explanation:
3.725290298e19
Answer:
Given f(x) = x2 + 3x – 1, find
a) f(1)
b) f(–1)
c) f(a)
d) f(x – 1)
Step-by-step explanation:
a) f(1) = (1)2 + 3(1) – 1 = 3
b) f(–1) = (–1)2 + 3(–1) – 1 = –3
c) f(a) = a2 + 3a – 1
d) f(x – 1) = (x – 1)2 + 3(x – 1) – 1
= x2 – 2x + 1 + 3x – 3 – 1 = x2 + x –3
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