A prime polynomial cannot be written as a product of lower-degree polynomials. Which polynomial is prime? A)8x2 – 10x – 3 b)8x2
2 answers:
Answer:
Option (A) and (C).
Step-by-step explanation:
Prime polynomial can't be written as a product of lower degree polynomials.
(A)
=8x²-6x-4x-3
=2x(4x-3)-1(4x+3)
Here we can't write the polynomial as a product of lower degree.
Therefore it is a prime polynomial.
(B)
8x²+2x-3
=8x²+6x-4x-3
=2x(4x+3)-1(4x+3)
=(4x+3)(2x-1)
Therefore it is not a prime polynomial.
(C)
8x²-6x-3
Therefore it is a prime polynomial.
(D)
8x²+23x-3
=8x²+24x-x-3
=8x(x+3)-1(x+3)
=(x+3)(8x-1)
Therefore it is not a prime polynomial.
You might be interested in
Answer:
$2000 was invested at 5% and $5000 was invested at 8%.
Step-by-step explanation:
Assuming the interest is simple interest.
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned.
- P = principal invested.
- r = interest rate (in decimal form).
- t = time (in years).
Given:
- Total P = $7000
- P₁ = principal invested at 5%
- P₂ = principal invested at 8%
- Total interest = $500
- r₁ = 5% = 0.05
- r₂ = 8% = 0.08
- t = 1 year
Create two equations from the given information:
Rewrite Equation 1 to make P₁ the subject:
Substitute this into Equation 2 and solve for P₂:
Substitute the found value of P₂ into Equation 1 and solve for P₁:
$2000 was invested at 5% and $5000 was invested at 8%.
Learn more about simple interest here: