The polynomial (x), if the divisor is 5x2, quotient is 2x + 3, and remainder is 10x + 20 is __________a)10x3- 15x2- 10x - 20b)-10x3- 15x2+ 10x + 20c)10x3+ 15x2+ 10x + 20d)-10x3+ 15x2+ 10x + 20Correct answer is option 'B'. Can you explain this answer?

Question

Answer

We know that,
f(x) = q(x) × g(x) + r(x)
Where, f(x) is the dividend, q(x) is the quotient, g(x) is the divisor and r(x) is the remainder.
f(x) = 5x²× (2x+3)+10x + 20
f(x) = 10x³+ 15x²+ 10x + 20

Similar Grade 10 Doubts

What will be the value of a and b if the polynomial f(x) = 30x4- 50x3+ 109x2- 23x + 25, when divided by 3x2- 5x + 10, gives 10x2+ 3 as quotient and ax+b as remainder?

The quotient if the polynomial f(x) = 50x2- 90x - 25 leaves a remainder of -5, when divided by 5x-10, will be ________.

When a polynomial f(x) = acx3 +bcx + d, is divided by g(x), it leaves quotient as cx, and remainder as d. The value of g(x)will be _____.

If f(x) is divided by g(x), it gives quotient as q(x) and remainder as r(x). Then, f(x) = q(x) × g(x) + r(x) where, f(x) is the dividend, q(x) is the quotient, g(x) is the divisor and r(x) is the remainder.

The real number that should be subtracted from the polynomial f(x) = 15x5+ 70x4+ 35x3- 135x2- 40x - 11 so that it is exactly divisible by 5x4+ 10x3- 15x2- 5x is __________.

Top Courses for Grade 10View all

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

Mathematics Chart book: Revision guide

Science Class 10

Cursive Writing Course-Improve Your Handwriting

Top Courses for Grade 10

Top Courses for Grade 10

Suggested Free Tests

Related Content

Schools

Competitive Examinations

Quick Access Links

Technical Exams