Advertisements
Advertisements
Question
Factorise the following:
p² – 6p – 16
Advertisements
Solution
Product = – 16, sum = – 6
Split the middle term as – 8p and 2p
p² – 6p – 16 = p² – 8p + 2p – 16
= p(p – 8) + 2(p – 8)
= (p – 8)(p + 2)
APPEARS IN
RELATED QUESTIONS
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.
The polynomials ax3 + 3x2 − 3 and 2x3 − 5x + a when divided by (x − 4) leave the remainders R1 and R2 respectively. Find the values of the following cases, if 2R1 − R2 = 0.
What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?
x3 − 6x2 + 3x + 10
Write the remainder when the polynomialf(x) = x3 + x2 − 3x + 2 is divided by x + 1.
If x − a is a factor of x3 −3x2a + 2a2x + b, then the value of b is
If x + 2 is a factor of x2 + mx + 14, then m =
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
Factorise the following:
6x2 + 16xy + 8y2
