Advertisements
Advertisements
प्रश्न
Factorise the following:
`sqrt(5)"a"^2 + 2"a" - 3sqrt(5)`
Advertisements
उत्तर
Product = `sqrt(5) xx - 3sqrt(5)`, = −15, sum = 2
Split the middle term as 5x and −3x
`sqrt(5)"a"^2 + 2"a" - 3sqrt(5) = sqrt(5)"a"^2 + 5"a" - 3"a" - 3sqrt(5)`
= `sqrt(5)"a"("a" + sqrt(5)) - 3("a" + sqrt(5))`
= `("a" + sqrt(5))(sqrt(5)"a" - 3)`
APPEARS IN
संबंधित प्रश्न
Give one example each of a binomial of degree 35, and of a monomial of degree 100.
If the polynomials ax3 + 3x2 − 13 and 2x3 − 5x + a, when divided by (x − 2) leave the same remainder, find the value of a.
In each of the following, use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x) or, not: (1−7)
f(x) = x3 − 6x2 + 11x − 6; g(x) = x − 3
x3 − 6x2 + 3x + 10
x4 − 7x3 + 9x2 + 7x − 10
3x3 − x2 − 3x + 1
x3 − 3x2 − 9x − 5
If both x − 2 and \[x - \frac{1}{2}\] are factors of px2 + 5x + r, then
Factorise the following:
a4 – 3a2 + 2
If x + 2a is a factor of x5 – 4a2x3 + 2x + 2a + 3, find a.
