Advertisements
Advertisements
प्रश्न
Factorise the following:
t² + 72 – 17t
Advertisements
उत्तर
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
संबंधित प्रश्न
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 case, if R1 + R2 = 0.
Find α and β, if x + 1 and x + 2 are factors of x3 + 3x2 − 2αx + β.
In the following two polynomials, find the value of a, if x − a is factor x6 − ax5 + x4 − ax3 + 3x − a + 2.
What must be added to x3 − 3x2 − 12x + 19 so that the result is exactly divisibly by x2 + x - 6 ?
Write the remainder when the polynomialf(x) = x3 + x2 − 3x + 2 is divided by x + 1.
(x+1) is a factor of xn + 1 only if
Factorise the following:
m2 + 2mn – 24n2
Factorise the following:
8m3 – 2m2n – 15mn2
(x + y)(x2 – xy + y2) is equal to
If x + 2a is a factor of x5 – 4a2x3 + 2x + 2a + 3, find a.
