Advertisements
Advertisements
Question
Factorise the following:
z² + 4z – 12
Advertisements
Solution
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
RELATED QUESTIONS
If `f(x) = 2x^2 - 13x^2 + 17x + 12` find f(2)
If f(x) = 2x2 - 13x2 + 17x + 12 find f(-3).
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the value of the following case, if R1 = R2.
Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.
If both x + 1 and x − 1 are factors of ax3 + x2 − 2x + b, find the values of a and b.
Define zero or root of a polynomial.
If x51 + 51 is divided by x + 1, the remainder is
Let f(x) be a polynomial such that \[f\left( - \frac{1}{2} \right)\] = 0, then a factor of f(x) is
If both x − 2 and \[x - \frac{1}{2}\] are factors of px2 + 5x + r, then
Factorise the following:
x² + 10x + 24
