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The factors of (x2– 8x – 20) are :-
a)(x + 10) (x – 2)
b)(x – 10) (x – 2)
c)(x – 5) (x + 4)
d)( x + 2) ( x - 10 )
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The factors of (x2– 8x – 20) are :-a)(x + 10) (x – 2)b)(x – 10) (x – 2...
Solve it by middle term factorization
x²- 8x-20
=x²-10x+2x-20
=x(x-10)+2(x-10)
=(x-10)(x+2)
x²- 8x-20
=x²-10x+2x-20
=x(x-10)+2(x-10)
=(x-10)(x+2)
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The factors of (x2– 8x – 20) are :-a)(x + 10) (x – 2)b)(x – 10) (x – 2...
Factors of x² - 8x - 20
To find the factors of x² - 8x - 20, we need to factorize the given quadratic expression. We can use different methods such as splitting the middle term, completing the square, or using the quadratic formula. Here, we will use the splitting method.
Step 1: Write down the quadratic expression in the standard form ax² + bx + c.
x² - 8x - 20
Step 2: Find two numbers whose product is equal to a*c and whose sum is equal to b. Here, a = 1, b = -8, and c = -20.
The product of a and c is 1*(-20) = -20. We need to find two numbers whose product is -20 and whose sum is -8. These numbers are -10 and 2.
Step 3: Rewrite the middle term bx as the sum of the two numbers found in step 2.
x² - 10x + 2x - 20
Step 4: Factorize by grouping the terms in pairs.
(x² - 10x) + (2x - 20)
x(x - 10) + 2(x - 10)
(x + 2)(x - 10)
Therefore, the factors of x² - 8x - 20 are (x + 2) and (x - 10). Hence, option (D) is the correct answer, which is (x - 2)(x - 10).
To find the factors of x² - 8x - 20, we need to factorize the given quadratic expression. We can use different methods such as splitting the middle term, completing the square, or using the quadratic formula. Here, we will use the splitting method.
Step 1: Write down the quadratic expression in the standard form ax² + bx + c.
x² - 8x - 20
Step 2: Find two numbers whose product is equal to a*c and whose sum is equal to b. Here, a = 1, b = -8, and c = -20.
The product of a and c is 1*(-20) = -20. We need to find two numbers whose product is -20 and whose sum is -8. These numbers are -10 and 2.
Step 3: Rewrite the middle term bx as the sum of the two numbers found in step 2.
x² - 10x + 2x - 20
Step 4: Factorize by grouping the terms in pairs.
(x² - 10x) + (2x - 20)
x(x - 10) + 2(x - 10)
(x + 2)(x - 10)
Therefore, the factors of x² - 8x - 20 are (x + 2) and (x - 10). Hence, option (D) is the correct answer, which is (x - 2)(x - 10).
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The factors of (x2– 8x – 20) are :-a)(x + 10) (x – 2)b)(x – 10) (x – 2)c)(x – 5) (x + 4)d)( x + 2) ( x - 10 )Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The factors of (x2– 8x – 20) are :-a)(x + 10) (x – 2)b)(x – 10) (x – 2)c)(x – 5) (x + 4)d)( x + 2) ( x - 10 )Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The factors of (x2– 8x – 20) are :-a)(x + 10) (x – 2)b)(x – 10) (x – 2)c)(x – 5) (x + 4)d)( x + 2) ( x - 10 )Correct answer is option 'D'. Can you explain this answer?.
The factors of (x2– 8x – 20) are :-a)(x + 10) (x – 2)b)(x – 10) (x – 2)c)(x – 5) (x + 4)d)( x + 2) ( x - 10 )Correct answer is option 'D'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The factors of (x2– 8x – 20) are :-a)(x + 10) (x – 2)b)(x – 10) (x – 2)c)(x – 5) (x + 4)d)( x + 2) ( x - 10 )Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The factors of (x2– 8x – 20) are :-a)(x + 10) (x – 2)b)(x – 10) (x – 2)c)(x – 5) (x + 4)d)( x + 2) ( x - 10 )Correct answer is option 'D'. Can you explain this answer?.
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