Advertisements
Advertisements
Question
Factorise the following:
t² + 72 – 17t
Advertisements
Solution
Product = +72, sum = –17
Split the middle term as – 9t and – 8t
t² – 17t + 72 = t² – 91 – 8t + 72
= t(t – 9) – 8(t – 9)
= (t – 9)(t – 8)
APPEARS IN
RELATED QUESTIONS
If `x = 2` is a root of the polynomial `f(x) = 2x2 – 3x + 7a` find the value of a.
f(x) = x3 − 6x2 + 2x − 4, g(x) = 1 − 2x
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.
What must be added to 3x3 + x2 − 22x + 9 so that the result is exactly divisible by 3x2 + 7x − 6?
x3 + 2x2 − x − 2
Mark the correct alternative in each of the following:
If x − 2 is a factor of x2 + 3ax − 2a, then a =
If x140 + 2x151 + k is divisible by x + 1, then the value of k is
If x + 2 and x − 1 are the factors of x3 + 10x2 + mx + n, then the values of m and n are respectively
Factorise the following:
6x2 + 16xy + 8y2
(x + y)(x2 – xy + y2) is equal to
