Is the following situation possible the sum of ages of a mother and her daughter is 25?
Answer Expert Verified Let the present age of mother and her daughter be x and y respectively. Here, Let’s find the discriminant to know if the age of daughter would be a real number. Here, Discriminant D is less than 0, So No real value is possible, Hence this situation is not possible.
What do you observe about the sum and the product of the roots?
Answer Expert Verified In the sum of roots, we would get the answer by getting b and a which the formula is -b/a. While the product of roots, we would get it by having a and c in the equation which the formula is only c/a. We would get also the roots when we have the sum and product of the roots.
What is the sum of roots?
The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient. The product of the roots of a quadratic equation is equal to the constant term (the third term), divided by the leading coefficient.
What is the sum of the roots of a polynomial?
And we want an equation like: ax2 + bx + c = 0. When a=1 we can work out that: Sum of the roots = −b/a = -b. Product of the roots = c/a = c.
How can the sum of the roots be obtained?
the sum of its roots = –b/a and the product of its roots = c/a. A quadratic equation may be expressed as a product of two binomials. Here, a and b are called the roots of the given quadratic equation. Now, let’s calculate the roots of an equation x2+5x+6 = 0.
What is a root of a polynomial?
Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero. If a is the root of the polynomial p(x), then p(a) = 0.
What is the formula of root?
2.7 x 2.7 = 7.29 which is more than 7. 2.65 x 2.65 = 7.022 which is almost equal to 7. So, the square root of 7 can be approximated to 2.65. The process can be continued to get more accurate results….Square Root Formulas with Examples.
| 2 | 576 |
|---|---|
| 2 | 144 |
| 2 | 72 |
| 2 | 36 |
| 2 | 18 |
Are roots and zeros the same?
The rule of thumbs: zero refers to the function (e.g. polynomial) and root refers to the equation.
Which of the following is a polynomial?
( c) Now , x2+3×32√x=x2+3×32-12=x2+3×22=x2+3x, it is a polynomial because exponent of x is a whole number.
Is 10x a polynomial?
10x is a polynomial. In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. That’s why 10x is a polynomial because it obeys all the rules.
Is 2x YZ a Monomial?
2x yz D. 2 + xyz. 2xyz2 is a monomial.
How do you identify a polynomial?
Polynomials can be classified by the degree of the polynomial. The degree of a polynomial is the degree of its highest degree term. So the degree of 2×3+3×2+8x+5 2 x 3 + 3 x 2 + 8 x + 5 is 3. A polynomial is said to be written in standard form when the terms are arranged from the highest degree to the lowest degree.
Can 0 be a polynomial?
Like any constant value, the value 0 can be considered as a (constant) polynomial, called the zero polynomial. It has no nonzero terms, and so, strictly speaking, it has no degree either. As such, its degree is usually undefined.
What Cannot be a polynomial?
Here are some examples of things that aren’t polynomials. The first one isn’t a polynomial because it has a negative exponent and all exponents in a polynomial must be positive. Each x in the algebraic expression appears in the numerator and the exponent is a positive (or zero) integer. Therefore this is a polynomial.
Why is 8 a polynomial?
(i) polynomial , because the exponent of the variable of 8 or 8×0 is 0 which is a whole number . (viii) Not polynomial , because the exponent of the variable of 12xor12x-1 is -1 which is not a whole number.
Is the number 7 a polynomial?
I mean to ask that 7 is an arithmetic expression but it can also be written as 7×0. which is a constant polynomial expression. Every polynomial expression is an algebraic expression so with this logic is 7 an algebraic expression or an arithmetic expression.
Is 7 a polynomial justify?
(vii) Polynomial , because the exponent of the variable of 17a3-2√3a2+4a-7 is a whole number .
Is a polynomial of 8 degree?
Hence, for 8, degree is 0.
Is 3 a polynomial or not?
We can perform arithmetic operations such as addition, subtraction, multiplication and also positive integer exponents for polynomial expressions but not division by variable….Degree of a Polynomial.
| Polynomial | Degree | Example |
|---|---|---|
| Cubic Polynomial | 3 | 6×3+4×3+3x+1 |
| Quartic Polynomial | 4 | 6×4+3×3+3×2+2x+1 |
What degree is a polynomial?
The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.
Is Root 8 a polynomial?
Answer: Root 8 is a polynomial degree of 8½.
Can 13 be a polynomial?
Explanation: The expression 13 is a sum of terms each of which is a scalar multiple of a power of x . It is, to be sure, a rather simple example of such, but a polynomial nevertheless.
Is Square Root 7 a polynomial?
In the given question we can see there is no variable and and a constant that is root 7 is given. For all constants the degree is always zero. Therefore the degree for the polynomial root 7 is “zero”.
Why is a square root not a polynomial?
In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Here are some examples: This is NOT a polynomial term… because the variable is inside a radical.
Is √ XA polynomial?
No, polynomials can only have non-negative integer exponents. Since x is the same as x^(1/2), this breaks the rule since 1/2 isn’t an integer.
Why is Y 2 not a polynomial?
Answer: Since, variable, ‘t’ in this expression exponent of variable is not a whole number. Expression with exponent of a variable in fraction is not considered as a polynomial.] (iv) y+2y. Answer: Since, exponent of the variable is negative integer, and not a whole number, hence it cannot be considered a polynomial.