Explore topic-wise MCQs in Mathematics Questions and Answers.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

Explore topic-wise MCQs in Mathematics Questions and Answers.

If the polynomial f(x)=x2+kx-15, is exactly divisible by x-5, then the value of k is _______

What real number that should be added to the polynomial f(x)=81x2-31, so that it is exactly divisible by 9x+1?

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 ____________

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 _____

The polynomial (x), if the divisor is 5x2, quotient is 2x+3, and remainder is 10x+20 is __________

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

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?

If two of the zeros of the polynomial f(x)=x3+(6-√3)x2+(-1-√3)x+30-6√3 are 3 and -2 then, the other zero will be ____________

If α is a zero of the polynomial f(x), then the divisor of f(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.