The total Probability would be D
A polynomial function of least degree with rational coefficients so that P(x) = 0 has the given roots is P(x)=x²-5x-14
<h3>What is a polynomial function?</h3>
A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. One polynomial with an exponent of 1 is 2x+5, for instance. One that has more than two algebraic terms is referred to as a polynomial expression. Polynomial is a monomial or binomial that is repeatedly added, as the name suggests.
A mathematical expression containing one or more algebraic terms, where each algebraic term is made up of a constant multiplied by one or more variables raised to a nonnegative integral power.
x= -2, x=7
Given,
P(x) = 0
This polynomial function has the roots,
x= -2, x=7
So,
(x+2)(x-7)
We have to multiply both of them we get,
P(x)=(x+2)(x-7)
0=x²-5x-14
x²-5x-14=0
Therefore, P(x)=x²-5x-14 is the polynomial function.
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Answer:
ΔDEF is not a right triangle because no two sides are perpendicular.
Step-by-step explanation:
The coordinates of the vertices of ΔDEF are given to be D(-4,1), E(3,-1) and F(-1,-4).
Now length of DE is given by 
units
length of EF is given by 
units
and length of FD is given by 
units.
Therefore, 53 ≠ 25+34
Hence, the length of the sides does not support the Pythagoras theorem.
So, ΔDEF is not a right triangle because no two sides are perpendicular. (Answer)
The answer would be 660.4 millimeters
Answer:
98
Step-by-step explanation:
f(x) = 10x² + 8
= 10(-3)² + 8
= 10 (9) + 8
= 90 + 8
= 98
