Question

3x²-17x+24 factorise​

Answer 1

✫ Given ✫

3x² - 17x + 24

factories it

✫ Solution ✫

➥ 3x² - 17x + 24

✞ Solve it by splitting middle term

➥ 3x² - 9x - 8x + 24

➥ 3x(x - 3) -8(x - 3)

➥ (x - 3)(3x - 8)

✫ More identities ✫

• (a + b)² = a² + b² + 2ab

• (a - b)² = a² + b² - 2ab

• a² - b² = (a + b)(a - b)

• a³ + b³ = (a + b)(a² - ab + b²)

• a³ - b³ = (a - b)(a² + ab + b²)

Answer 2

(x - 3)(3x - 8)

Step-by-step explanation:

Given that

p(x) = 3x² - 17x + 24

First of all we shall find two factors of 24×3 = 72 such that their sum is equal to 17. On using hit and trials, We can get two factors as 9 and 8.

Now we will re-write the middle term as sum of 9 and 8 as follows,

p(x) = 3x² - (9 + 8)x + 24

p(x) = 3x² - 9x - 8x + 24

p(x) = 3x(x - 3) - 8(x - 3)

p(x) = (x - 3)(3x - 8)

This is the required factorization of given polynomial.

Note:- A polynomial of the form (ax² + bx + c) is known as Standard form of Polynomial of second degree. It is also called as quadratic equation. A quadratic polynomial has two Roots. The relationship between its two root is as follows:-

Sum of Roots = -b/a

Product of Roots = c/a