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1 answer:
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Answer:
∴(x+5)(x+3) =x²+8x+15
Step-by-step explanation:
Standard form of a polynomial:
Standard of polynomial means that the terms ordered from biggest exponent of variable to lowest exponent of variable.
Example:
Given,
(x+5)(x+3)
=x(x+3)+5(x+3)
=x²+3x+5x+15
=x²+8x+15
∴(x+5)(x+3) =x²+8x+15
The degree of the polynomial is 2 and is a one variable polynomial.
Answer:
see explanation
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ is double a₇ , then
a₁ + 4d = 2(a₁ + 6d) , that is
a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )
4d = a₁ + 12d ( subtract 12d from both sides )
- 8d = a₁
The sum of n terms of an AP is
=
[ 2a₁ + (n - 1)d ] , substitute values
=
( 2(- 8d) + 16d)
= 8.5(- 16d + 16d)
= 8.5 × 0
= 0