A square has sides of length 3x - 2 cm. Express the area of the square as a polynomial.
would i write this as
3x-2cm^4 because there are foru sides
sorry post went before i was done
polynominial confuse me
after thinking about what polynomial is suppose to represent one or more summed terms, i am assuming the 3x and the 2cm are the summed terms if i am not getting the understanding right please tell me
polynomial simply means "many or several numbers", poly is Greek for many
one side is 3x-2
the area of a square is (side)x(side) or (side)^2
so all they want is (3x-2)^2
for polynominial complete the following table -8x^4+5x^3-7x^2+4x-1
To find the area of the square, we need to square the length of one side, which is (3x - 2) cm.
To square a binomial like (3x - 2), we multiply it by itself:
(3x - 2)^2 = (3x - 2)(3x - 2)
Using the distributive property, we can expand this expression:
(3x - 2)^2 = (3x)(3x) + (3x)(-2) + (-2)(3x) + (-2)(-2)
Simplifying further, we get:
(3x - 2)^2 = 9x^2 - 6x - 6x + 4
Combining like terms, we have:
(3x - 2)^2 = 9x^2 - 12x + 4
Therefore, the area of the square with sides of length (3x - 2) cm is given by the polynomial 9x^2 - 12x + 4.
You're on the right track! A polynomial is indeed an expression with one or more terms. In this case, we want to express the area of the square as a polynomial.
To find the area of a square, we multiply the length of one side by itself, or square it. In this case, the length of one side is represented by the expression 3x - 2 cm.
So, to express the area as a polynomial, we need to square that expression. We do this by multiplying (3x - 2 cm) by itself:
(3x - 2 cm) * (3x - 2 cm)
Using the distributive property, we can expand this expression:
(3x - 2 cm) * (3x - 2 cm) = 9x^2 - 6x cm + 6x cm - 4 cm^2
Simplifying further, we see that the middle terms cancel each other out:
9x^2 - 4 cm^2
Therefore, the area of the square can be expressed as the polynomial 9x^2 - 4 cm^2.