For his Science project, Timor has 1 pea plant and 3 bean plants. He measures the heights of the plants once a week. This week's
2 answers:
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Let us add consecutive odd numbers and try to find any relationship.
1. 1
2. 1+3 = 4 ( square of 2 i.e )
3. 1+3+5 = 9 ( )
4. 1+3+5+7 = 16 ( )
5. 1+3+5+7+9 = 25 ( )
6. 1+3+5+7+9+11 = 36 ( )
7. 1+3+5+7+9+11+13 = 49 ( )
If we notice, the sum of the consecutive odd integers in each case is equal to the square of the place where it lies. For example, the sum of numbers in seventh place is equal to . The sum of the numbers in the fifth line is equal to
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Answer:
[1]
Given:
Remove the parenthesis, we get;
Like terms are the those terms with same variable and powers.
Combine like terms;
To write this polynomial in standard form, you write starting with the term with the highest degree, or exponent(i.e ), and then in decreasing order .
Standard form:
To, classify a polynomial by degree, you just look at the highest exponent, or degree.
Since, 3 is the highest degree (), it is a cubic.
Now, classify a polynomial by the number of terms, count how many terms are in the polynomial( )
Number of terms: 4 (so this is polynomial)
[2]
Similarly,
for
Remove the parenthesis, we get;
Combine like terms; we have
Standard form:
Degree of the polynomial is, 2
Number of terms: 3 ( so, this is trinomial)