(-232) *48 ÷(-48) *235)
Answers
Answer:
GIVEN
Application of Parabolas Projectile motion: An object which is thrown or projected into the air, subject to only the acceleration of gravity is called a projectile, and its path is called its trajectory. This curved path was shown by Galileo to be a parabola. Parabola represented by a polynomial. If the polynomial to represent the distance covered is,
\sf{p(t) = - 5 {t}^{2} + 40t + 1.2 }p(t)=−5t
2
+40t+1.2
TO DETERMINE
1. What is the degree of the polynomial?
2. Find the height of the projectile 4 seconds after it is launched.
3. The polynomial is classified as … on the basis of number of terms.
4. The name of polynomial on the basis of degree is…
CONCEPT TO BE IMPLEMENTED
Polynomial
Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables
DEGREE OF A POLYNOMIAL
Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient
Monomial : A monomial is an expression in algebra that contains one term
Binomial : In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial.
Trinomial : A trinomial is a polynomial consisting of three terms or monomials.
EVALUATION
Here the given polynomial is
\sf{p(t) = - 5 {t}^{2} + 40t + 1.2 }p(t)=−5t
2
+40t+1.2
1. Here the variable is t
Now the highest power of its variable that appears with nonzero coefficient = 2
Hence degree of the polynomial = 2
2. Here the given polynomial is
\sf{p(t) = - 5 {t}^{2} + 40t + 1.2 }p(t)=−5t
2
+40t+1.2
Putting t = 4 we get
\sf{p(4) = - 5 \times {4}^{2} + 40 \times 4+ 1.2 }p(4)=−5×4
2
+40×4+1.2
\sf{ = - 80 +160+ 1.2 }=−80+160+1.2
\sf{ = 81.2 }=81.2
The height of the projectile 4 seconds after it is launched = 81.2 unit
3. Since the number of terms in the polynomial is 3
Hence the polynomial is classified as trinomial on the basis of number of terms.
4. Since the degree of the polynomial is 2
Hence the name of polynomial on the basis of degree is quadratic polynomial
Answer:
−232×48÷(−48)×235=54,520