Advertisements
Advertisements
प्रश्न
The area of a rectangle is x2 + 7x + 12. If its breadth is (x + 3), then find its length
Advertisements
उत्तर
Let the length of the rectangle be “l”
The breadth of the rectangle = x + 3
Area of the rectangle = length × breadth
x2 + 7x + 12 = l(x + 3)
l = `(x^2 + 7x + 12)/(x + 3)`
= `((x + 4)(x + 3))/(x + 3)`
= x + 4
Length of the rectangle = x + 4

APPEARS IN
संबंधित प्रश्न
Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following : p(x) = x4 – 3x2 + 4x + 5, g(x) = x2 + 1 – x
Give examples of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm
deg p(x) = deg q(x)
Apply division algorithm to find the quotient q(x) and remainder r(x) on dividing f(x) by g(x) in the following f(x) = 10x4 + 17x3 − 62x2 + 30x − 3, g(x) = 2x2 + 7x + 1
Obtain all zeros of f(x) = x3 + 13x2 + 32x + 20, if one of its zeros is −2.
Find all the zeros of the polynomial x4 + x3 − 34x2 − 4x + 120, if two of its zeros are 2 and −2.
Find all the zeros of the polynomial x3 + 3x2 − 2x − 6, if two of its zeros are `-sqrt2` and `sqrt2`
Find the quotient and remainder of the following.
(4x3 + 6x2 – 23x + 18) ÷ (x + 3)
Find the quotient and remainder of the following.
(8y3 – 16y2 + 16y – 15) ÷ (2y – 1)
Can x2 – 1 be the quotient on division of x6 + 2x3 + x – 1 by a polynomial in x of degree 5?
If on division of a non-zero polynomial p(x) by a polynomial g(x), the remainder is zero, what is the relation between the degrees of p(x) and g(x)?
