Advertisements
Advertisements
प्रश्न
Factorise the following:
z² + 4z – 12
Advertisements
उत्तर
Product = −12, sum = 4
Split the middle term as 6z and – 2z
z² + 4z – 12 = z² + 6z – 2z – 12
= z(z + 6) – 2(z + 6)
= (z + 6)(z – 2)
APPEARS IN
संबंधित प्रश्न
Write the degrees of the following polynomials:
7
Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
If x3 + ax2 − bx+ 10 is divisible by x2 − 3x + 2, find the values of a and b.
What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?
x3 − 23x2 + 142x − 120
If x + 2 and x − 1 are the factors of x3 + 10x2 + mx + n, then the values of m and n are respectively
When x3 − 2x2 + ax − b is divided by x2 − 2x − 3, the remainder is x − 6. The values of a and b are respectively
Factorise the following:
m2 + 2mn – 24n2
Factorise the following:
`1/x^2 + 1/y^2 + 2/(xy)`
