Step-by-step explanation:
10. a1=3, a2=1, a3=3, a4=1, a5=3
11. a3=2x1=2, a4=2x2=4, a5=4x2=8
hope that helps :)
Answer:
11x^6y^5
Step-by-step explanation:
Given: (2x^5y^2)(4xy^3)+(x^4y^4)(3x^2y)
Use FOIL: 8x^6y^5 + 3x^6y^5
Combine like terms: 11x^6y^5
9^7=4782969 and 3^12=531441 and when you add 4782969 and 531441 together you get 5314410. Then divide that number by 90 and get 59049
Answer:
The 2 numbers are 21 and 46
Explanation:
Difference is the answer to a subtraction problem.
Sun is the answer to a addition problem.
21 + 46 = 67
46 - 21 = 25
Answer + Explanation + Theory
When a number is divided by a number it results in a quotient and a remainder
E.g. 9 / 4 = 2 remainder 1
9 is the dividend
4 is the divisor
2 is the quotient
1 is the remainder
Same way when a polynomial is divided by a linear expression
E.g.
Ax^2 + bx + c / (x-b) = (x+a) + r
Which can be rearranged to
ax^2 + bx + c = (x+a)(x-b) + r
When x = - a or b, only the remainder is left since either (x+a)(x-b) is 0.
If x = - a or b is substituted into the polynomial and the value is 0 then there is no remainder,
This would suggest (x+a) or (x-b) are factors of the polynomial.
Now apply this logic to these questions
1. Let’s assume (x-4) is a factor, this would mean that when x=4 is substituted into the polynomial the answer would be 0.
This is the case, therefore the remainder is 0.
2. Having seen the logic above (applied using the remainder and factor theorem) the linear expression is a factor of the polynomial.
