Advertisements
Advertisements
Question
Factorise the following:
2a2 + 9a + 10
Advertisements
Solution
Product = 2 × 10 = 20, sum = 9
Split the middle term as 5a and 4a
2a2 + 9a + 10 = 2a2 + 5a + 4a + 10
= a(2a + 5) + 2(2a + 5)
= (2a+ 5)(a+ 2)
APPEARS IN
RELATED QUESTIONS
Write the degrees of each of the following polynomials
`7x3 + 4x2 – 3x + 12`
Write the degrees of the following polynomials:
7
Verify whether the indicated numbers is zeros of the polynomials corresponding to them in the following case:
\[p(x) = x^3 - 6 x^2 + 11x - 6, x = 1, 2, 3\]
Show that (x − 2), (x + 3) and (x − 4) are factors of x3 − 3x2 − 10x + 24.
Find the value k if x − 3 is a factor of k2x3 − kx2 + 3kx − k.
If x − 2 is a factor of the following two polynomials, find the values of a in each case x5 − 3x4 − ax3 + 3ax2 + 2ax + 4.
y3 − 7y + 6
If f(x) = x4 − 2x3 + 3x2 − ax − b when divided by x − 1, the remainder is 6, then find the value of a + b
If x2 + x + 1 is a factor of the polynomial 3x3 + 8x2 + 8x + 3 + 5k, then the value of k is
Factorise the following:
a4 – 3a2 + 2
