Jillian is participating in a book-reading contest to raise funds for her local library. For every book Jillian reads, her mothe
r pledged to make a donation.
A: The table shows how much Jillian's mother will donate. Find the pattern, and give the amount her mother will donate for 9 and 21 books read.
(Btw it won't let me upload a pic of the table so this is what it said)
BR: 3. 5. 7
MD: $15. $25. $35
(Ps. BR means books read and MD means money donated)
B: Write an equation showing the pattern from the table. Identify the variables.
C: Graph the equation.
A: The table shows how much Jillian's mother will donate. Find the pattern, and give the amount her mother will donate for 9 and 21 books read.
(Btw it won't let me upload a pic of the table so this is what it said)
BR: 3. 5. 7
MD: $15. $25. $35
(Ps. BR means books read and MD means money donated)
B: Write an equation showing the pattern from the table. Identify the variables.
C: Graph the equation.
1 answer:
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• The zeroes of the given polynomial are α and β .
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u><u> </u></h3>Here, we have polynomial
<u>We </u><u>know </u><u>that</u><u>, </u>
Sum of the zeroes of the quadratic polynomial
<u>And </u>
Product of zeroes
<u>Now, we have to find the polynomials having zeroes </u><u>:</u><u>-</u>
<u>T</u><u>h</u><u>erefore </u><u>,</u>
Sum of the zeroes
Thus, The sum of the zeroes of the quadratic polynomial are -bc - ab/ac
<h3><u>Now</u><u>, </u></h3>Product of zeroes
Hence, The product of the zeroes are c/a + a/c + 2 .
<u>We </u><u>know </u><u>that</u><u>, </u>
<u>For </u><u>any </u><u>quadratic </u><u>equation</u>
Hence, The polynomial is x² + (-bc-ab/c)x + c/a + a/c + 2 .
<h3><u>Some </u><u>basic </u><u>information </u><u>:</u><u>-</u></h3>• Polynomial is algebraic expression which contains coffiecients are variables.
• There are different types of polynomial like linear polynomial , quadratic polynomial , cubic polynomial etc.
• Quadratic polynomials are those polynomials which having highest power of degree as 2 .
• The general form of quadratic equation is ax² + bx + c.
• The quadratic equation can be solved by factorization method, quadratic formula or completing square method.