- A−7 and 2
- B7 and −2
- C7 and 2
- D14 and −1
Step-by-Step Solution
The pair must multiply to −14 (the constant term) and add to +5 (the coefficient of and . So . The pair −7 and 2 adds to −5, giving the wrong middle term.
Answer: B) 7 and −2
To factorise by splitting the middle term, which pair of numbers should be split into?
Class 9PolynomialsPolynomials
Key idea: Remainder Theorem
**When is divided by , the remainder = (a).**
Don't do long division — just substitute into the polynomial.
Example: divide by . Remainder = .
Why it works: any polynomial can be written as , where is a constant remainder. Substituting kills the term, leaving .
Don't do long division — just substitute into the polynomial.
Example: divide by . Remainder = .
Why it works: any polynomial can be written as , where is a constant remainder. Substituting kills the term, leaving .
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