What is the factor of 6×2 17x 5?

What is the factor of 6×2 17x 5?

Therefore, the quadratic function in variable x i.e., $6{x^2} + 17x + 5$ have two functions which are (3x+1) and (2x+5).

How do you Factorise using factor theorem?

Factorization Of Polynomials Using Factor Theorem

1. Obtain the polynomial p(x).
2. Obtain the constant term in p(x) and find its all possible factors.
3. Take one of the factors, say a and replace x by it in the given polynomial.
4. Obtain the factors equal in no. to the degree of polynomial.
5. Write p(x) = k (x–a) (x–b) (x–c) …..

What are the factors of 6×2 5x 6?

Answer: The factors of 6x² – 5x- 6 are (2x-3) (3x+2)

What is factor theorem Class 9 with example?

Answer: An example of factor theorem can be the factorization of 6×2 + 17x + 5 by splitting the middle term. In this example, one can find two numbers, ‘p’ and ‘q’ in a way such that, p + q = 17 and pq = 6 x 5 = 30.

Is Xa factor in math?

q(x) +0 = (x-a). Thus, x-a is a factor of p(x) when the remainder is zero. If the (x-a) is a factor of polynomial p(x), then the remainder must be zero. So, we can say that x-a exactly divides p(x).

What is factor theorem class 9th?

Factor Theorem. Factor Theorem. x – a is a factor of the polynomial p(x), if p(a) = 0. Also, if x – a is a factor of p(x), then p(a) = 0, where a is any real number. This is an extension to remainder theorem where remainder is 0, i.e. p(a) = 0.

How do you factor 6x 2 7x 3?

We split 7 into two whose sum is 7 and product -18. Clearly, 9+(-2)=7and9×(-2)=-18. =(2x+3)(3x-1). Hence, (6×2+7x-3)=(2x+3)(3x-1).

What is factor theorem?

In algebra, the factor theorem is a theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder theorem. The factor theorem states that a polynomial has a factor if and only if (i.e. is a root).

How do you solve a factor theorem question?

Example 1: Examine whether x + 2 is a factor of x3 + 3×2 + 5x + 6 and of 2x + 4. Solution: The zero of x + 2 is –2. So, by the Factor Theorem, x + 2 is a factor of x3 + 3×2 + 5x + 6. So, x + 2 is a factor of 2x + 4.