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Prime factors
They are prime numbers which are factors of a given number. e.g., Prime factors of 42 = 2 x 3 x..
Question 3
Question: What is a prime number? Answer: A number which has only two factors, namely 1 and then number itself is called a prime number..
Numbers prime to each other
Such numbers have only 1 as common factor even though they may be composite numbers e.g., 21 and 32 are prime to each other. We generally write (21, 32) = 1, which means 21 and 32 are prime to each other i.e., they have only one factor in..
Example 6:
Factorise using factor theorem. a) 2x 2 +x-3 b) 5x 2 +6x..
Introduction
The sets of numbers which every student must remember are: The set of natural numbers, The set of whole numbers, The set of integers, The set of rational numbers, The set of irrational numbers, Set of Real Numbers, Consecutive intege..
Suggested answer:
Factors of 3a are 1, a, 3, 3a . Divide 3a 3 ,-6a 2 and 3a by 3a, we get HCF is one factor and the quotient is the other factor. ..
Factors of 3a are 1, a, 3, 3a . Divide 3a 3 ,-6a 2 and 3a by 3a, we get HCF is one factor and the quotient is the other factor. ..Suggested answer:
Find 'a.c ', the product of the coefficient of x 2 and the last term. Find all the factor pairs of 12. (1,12), (3,4), (2,6) are the factor pairs of 12. The factor pair (3,4) is such that 3 + 4 = 7and 3 x 4 = 12 i...
Find 'a.c ', the product of the coefficient of x 2 and the last term. Find all the factor pairs of 12. (1,12), (3,4), (2,6) are the factor pairs of 12. The factor pair (3,4) is such that 3 + 4 = 7and 3 x 4 = 12 i...Factorization of Polynomials
You know that any polynomial of the form p(a) can also be written as p(a) = g(a) x h(a) + R(a) it implies that Dividend = Quotient X Divisor + Remainder. If the remainder is zero, then p(a) = g(a) x h(a). That is, the polynomial p(a) is a product of two other polynomials g(a) and h(a). There ..
Example 3:
Show that x+1 is a factor of 2x 3 +5x 2 -9x-1..
Example 5:
If (x-2) and (x-3) are factors of x 3 +ax 2 +bx+12, find a and ..
Result
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