Use properties of numbers to simplify each polynomial.
5x^2+6-4x+9x^2+17x
And
4 - 3x^2+2x-x^2+3
Can you help me find these answers?
Step By Step?
14x^2 + 13x + 6
And
-4x^2 + 2x + 3
Anonymous can you explain it to me?
Or just show work?
It looks like all you have to do is combine like terms and right them in standard form, from largest variables to smallest, ex. 4x^2 + 3x - 3.
I still don't understand can you show me steps?
5x^2 + 6 - 4x + 9x^2 + 17x
5x^2 + 9x^2 are like terms.
-4x + 17x are like terms.
Combine those like terms.
So: 14x^2 + 13x + 6
Same applies with the second expression.
Don't understand the second expression
all the terms that are x^2 need to be added together "combined". all the x's need to be combined and all the constants (just the number by itself) need to be added. This is called combining like terms. x^2 can only be added to other x^2. and x's can only be added to other x's. you cannot add an x^2 with an x term. Hope this helps
Of course! Let's simplify each polynomial step by step:
1. Polynomial: 5x^2 + 6 - 4x + 9x^2 + 17x
Combine like terms with the same exponent (in this case, the x^2 terms and the x terms):
(5x^2 + 9x^2) + (-4x + 17x) + 6
14x^2 + 13x + 6
2. Polynomial: 4 - 3x^2 + 2x - x^2 + 3
Combine like terms with the same exponent (in this case, the x^2 terms and the x terms):
(4 - x^2 - 3x^2) + (2x) + 3
(-4x^2 + 2x) + 7
-4x^2 + 2x + 7
So the simplified forms of the given polynomials are:
1. 14x^2 + 13x + 6
2. -4x^2 + 2x + 7
By combining like terms, we simplify the polynomials and group terms with the same exponent together.