The only thing in the question I am not totally certain about is the definition of a 'zero' on a polynomial - I will assume this means an x-intercept, which seems to make sense since these are the points where the value of the function is zero.
Taking the first polynomial: the maximum number of turning points for a polynomial of order n is (n-1). Take the example of a quadratic, which always has 1 turning point. Therefore the minimum order of the first polynomial is 6.
The maximum number of x-intercepts for a polynomial of order n is n. Therefore the second polynomial has a minimum order of 6.
Multiplication of two polynomials can get very messy very quickly. However, picture putting the two in brackets next to each other, such that the terms are in decreasing orders. You can easily see the maximum order term is found by multiplying the first term in each bracket. A polynomial's order is judged solely on the maximum power of the variable, so this is all we need to consider.
This multiplication becomes ax^6 * bx^6 where a and b are arbitrary constants in this context. Hence this product is abx^12 (exponents add when the terms are multiplied, where 12 = 6 + 6), so minimum degree of new polynomial = 12
Answer:
The correct option is a - true
Step-by-step explanation:
- P(an answer is True) = 1/2 = 0.5
- P(all the answers are True) = (1/2)^4
Rotations, reflections, translations, and dilations are all different types of transformations. Rotations rotate or turn the shape around the axis. Reflections mirror the shape across the axis. Translations move the shape up, down, left, or right. Dilations make the shape a different size.
Answer: Award a touch for X
Step-by-step explanation:
This is not a Mathematical question, it's a fencing question. It just requires the knowledge of the fencing sport.
Knowing the rules of the game, would let one know that fencer X landed the first legal touch on the valid surface of fencer Y.
Fencer Y's touch on Fencer X's valid surface arrives when fencer X already tripped while retreating and fell.
QED!
110 calories in the first one for ONE serving.
100 calories in the second one for ONE serving.
Hope this helps!
STSN
