Answer:
Part A: x⁴ + x³ + x²
Part B: (4·x + 2) + (-5·x + 6) = -x + 8
Step-by-step explanation:
Part A:
We note that standard form means that the terms of the polynomial are arranged in order starting from the the largest exponential of the polynomial to the smallest exponent
Therefore, we have
x⁴ + x³ + x² is a fourth-degree polynomial with three terms in standard form
It is known that the above polynomial is in standard form based on its ordered arrangement from the largest exponential to the smallest exponential
Part B:
Polynomial are closed under addition, that is when two polynomials are added only the coefficients change as the exponents and variables remain unchanged as follows;
(4·x + 2) + (-5·x + 6)
= 4·x + 2 - 5·x + 6
= 4·x - 5·x + 2 + 6
= -x + 8 which is a polynomial with the same variable and exponent.
20
10|7-5| —-> 10(2) ——> 20
Answer:
Step-by-step explanation:
You do this by placing the graph on -6, then you go up 3/2.
Let's try to find some primes that divide this number.
The number is not divisible by 2, because it is odd.
The number is divisible by 3 though, because the sum of its digits is:
So, we can divide the number by 3 and keep going with the factorization:
This number is again divisible by 3, because
We have
This number is no longer divisible by 3. Let's go on looking for primes that divide it: 5 doesn't because the number doesn't end in 0 nor 5. This number is not divisible by 7 or 11 either (just try). It is divisible by 13 though: we have
And 557 is prime, so we're done. This means that the prime factorization of 65169 is
Answer:
5.498 - C
Step-by-step explanation:
Length of an arc = tetha/360 × 2 × pi × r
Converting 7pi/4 to tetha
(7 × 180) / 4 = 315°, since pi = 180°
Plugging values to the formula:
315/360 × 2 × 3.142 × 1 = 5.498units
